百晓学者学者目录

谭忠

教授,厦门大学

精选作品

期刊论文

2026

球外域上含梯度项算子的Dirichlet特征值问题

程敏,方飞,谭忠

《中国科学:数学》

2026

Local well-posedness of the boundary layer for a pseudo-plastic fluid by energy methods

Zhong-Er Wu, Zhong Tan

2026

Global existence of smooth solution to Doi-type model without translational diffusion

Zhong Tan, Jian-Feng Zhou

Zeitschrift für Angewandte Mathematik und Physik

2026

Blow-up of solutions of the hyperbolic Prandtl system

Yihang Bao, Zhong Tan

Applied Mathematics Letters

2026

Stability of the One‐Species Vlasov‐Poisson‐Boltzmann System With Given Magnetic Field

Zhong Tan, Shihan Zhao

Mathematical methods in the applied sciences

2026

Optimal boundary control of viscoelastic fluids equations

Jinyang Jiang, Zhong Tan, Jian-Feng Zhou

Journal of Mathematics and Physics

2026

New type of bubble solutions for the critical Schrödinger system

Zhong Tan, Yi Yang

Journal of Mathematical Analysis and Applications

2025

The global solution and blowup of a equation modeled from the water wave problem with critical growth

Zhong Tan, Yiying Wang

Acta Mathematica Scientia

2025

Normalized Solutions for Kirchhoff Problems With Mixed Nonlinearities and Critical Exponential Growth

Liu Gao, Zhong Tan

Mathematical Methods in the Applied Sciences

2025

Existence of normalized solutions for the mass supercritical Kirchhoff problem

Liu Gao, Zhong Tan

Complex Variables and Elliptic Equations

2025

Normalized solutions for the mass supercritical Kirchhoff problem

Liu Gao, Zhong Tan

Journal of Mathematical Analysis and Applications

2025

Sharp interface limit of the convective Allen-Cahn equation in high dimensional spaces

Jinyang Jiang, Zhong Tan

Journal of Mathematics and Physics

2025

Subsonic Euler flows with damping in two-dimensional expansion nozzles

Jing-Bo Liao, Zhong Tan

Journal of Mathematics and Physics

2025

Weak time-periodic solutions to the Landau-Lifshitz-Bloch equation with an external magnetic field

Qiuju Xu, Zhong Tan, Huaqiao Wang

Communications in Mathematical Sciences

2025

Gevrey well-posedness of the thermal boundary layer equation

Zhong Tan, Zhong-Er Wu, Ming-Xue Zhang

Communications in Mathematical Sciences

2025

Normalized solutions to a class of (p, q)-Laplacian equations

Liu Gao, Zhong Tan

Analysis and Mathematical Physics

2024

电阻抗断层成像技术(EIT)的数学建模与其他应用场景

谭忠,谢明洪

《数学建模及其应用》

2024

The stability of Boussinesq equations with partial dissipation around the hydrostatic balance

Saiguo Xu, Zhong Tan

Acta Mathematica Scientia

2024

Local Well‐Posedness to the Magneto‐Micropolar Boundary Layer Equations in Gevrey Space

Zhong Tan, Mingxue Zhang

Mathematical Methods in the Applied Sciences

2024

Hölder continuous solutions of Boussinesq equations with Onsager-critical spatial regularity

Saiguo Xu, Zhong Tan

Calculus of Variations and Partial Differential Equations

2024

A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity

Zhong Tan, Yi Yang

Mathematical Methods in the Applied Sciences

2024

Generalized solutions to the model of compressible viscous fluids coupled with the Poisson equation

Zhong Tan, Hui Yang

Journal of Mathematical Physics

2024

Existence of normalized solutions for the Chern-Simons-Schrödinger system with critical exponential growth

Liu Gao, Zhong Tan

Journal of Mathematical Analysis and Applications

2024

Stability of the Couette flow for the two dimensional Chemotaxis-Navier–Stokes system

Dandan Ding, Zhong Tan

Nonlinear Analysis Real World Applications

2024

Global stability of supersonic Euler flows in quasi-one-dimensional convergent nozzles

Jing Liao, Zhong Tan

Journal of Mathematical Physics

2024

The local well-posedness of 2D magneto-micropolar boundary layer equations without resistivity

Zhong Tan, Ming-Xue Zhang

Communications on Pure and Applied Analysis

2024

Long-time asymptotics of the n-dimensional fractional critical heat equation

Zhong Tan, Yi Yang

Zeitschrift für Angewandte Mathematik und Physik

2023

奇异对流方程组非常弱解的梯度正则性

陈淑红,谭忠

《数学物理学报》

2023

流体运动中磁场的稳定作用

谭忠,王焰金,张剑文

《厦门大学学报(自然科学版)》

2023

The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition

Minghong Xie, Zhong Tan

Acta Mathematica Scientia

2023

Normalized Solutions for Two Classes of Kirchhoff Problems with Exponential Critical Growth

Liu Gao, Zhong Tan

Bulletin of the Malaysian Mathematical Sciences Society

2023

Rayleigh–Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab

Zhong Tan, Saiguo Xu

Nonlinear Analysis Real World Applications

2023

Blow‐up and energy decay for a class of wave equations with nonlocal Kirchhoff‐type diffusion and weak damping

Menglan Liao, Zhong Tan

Mathematical Methods in the Applied Sciences

2023

Structural stability and optimal convergence rates of subsonic Euler flows with large vorticity in infinitely long nozzles

Jing Liao, Zhong Tan

Journal of Mathematical Analysis and Applications

2023

Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles

Jing Liao, Zhong Tan

Journal of Differential Equations

2023

Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations

Fangyu Han, Zhong Tan

Science China Mathematics

2023

Global small solutions of MHD boundary layer equations in Gevrey function space*

Zhong Tan, Zhonger Wu

Journal of Differential Equations

2023

ASYMPTOTIC STABILITY FOR A VISCOELASTIC EQUATION WITH THE TIME-VARYING DELAY

Menglan Liao, Zhong Tan

Mathematical Modelling and Analysis

2023

A class of global large solutions to the Oldroyd-B-type model with fractional dissipation

Yichen Dai, Zhong Tan, Jiahong Wu

Communications in Mathematical Sciences

2023

The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source

Dandan Ding, Zhong Tan, Zhonger Wu

Communications in Mathematical Sciences

2023

Nonlinear elliptic–parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

Yanhua Deng, Zhong Tan, M. Xie

Advances in Nonlinear Analysis

2023

Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth

Liu Gao, Zhong Tan

Journal of Mathematics and Physics

2023

Optimal partial regularity for very weak solutions to a class of nonlinear elliptic systems

Shu-Hong Chen, Zhong Tan

Journal of Inequalities and Applications

2023

Global Existence and Decay Rate of Smooth Solutions for Full System of Partial Differential Equations for Three-Dimensional Compressible Magnetohydrodynamic Flows

Mohamed Ahmed Abdallah, Zhong Tan

Abstract and Applied Analysis

2022

The Time Decay Rates of the Classical Solution to the Poisson-Nernst-Planck-Fourier Equations in ℝ3

Leilei Tong, Zhong Tan, Xu Zhang

Acta Mathematica Scientia

2022

Global regularity for 2D Boussinesq equations with partial viscosity in the half plane

Zhong Tan, Saiguo Xu

Mathematical Methods in the Applied Sciences

2022

Gromov–Hausdorff stability of global attractors for 3D Brinkman–Forchheimer equations

Chengfei Ai, Zhong Tan

Mathematical Methods in the Applied Sciences

2022

The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain

Zhong Tan, Saiguo Xu

Journal of Differential Equations

2022

Global well-posedness for the 2D micropolar Bénard fluid system with mixed partial dissipation, angular viscosity and without thermal diffusivity

Xinliang Li, Zhong Tan

Zeitschrift für Angewandte Mathematik und Physik

2022

Global well-posedness for the 2D micropolar Bénard convection system with mixed partial viscosity

Xinliang Li, Zhong Tan

Journal of Mathematical Analysis and Applications

2022

Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects

Xinliang Li, Zhong Tan, Saiguo Xu

Nonlinearity

2022

Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity

Chengfei Ai, Zhong Tan

Applied Mathematics Letters

2022

Stability and large-time behavior of the inviscid Boussinesq system for the micropolar fluid with damping

Xinliang Li, Zhong Tan

Journal of Mathematics and Physics

2022

Global low-energy weak solutions of the compressible magneto-micropolar fluids in the half-space

Qiuju Xu, Zhong Tan, Huaqiao Wang, Leilei Tong

Zeitschrift für Angewandte Mathematik und Physik

2022

Blowup dynamics for equivariant critical Landau--Lifshitz flow

Fangyu Han, Zhong Tan

2022

Inertial energy dissipation for weak solution of electrorheological fluids

Zhong Tan, Jian-Feng Zhou

Nonlinear Analysis: Real World Applications

2022

The MHD Equations in the Lorentz Space With Time Dependent External Forces

Zhong Tan, Jian-Feng Zhou

Journal of Mathematical Fluid Mechanics

2022

The Diffusive Limit of the Bipolar Vlasov–Poisson–Boltzmann Equations

Leilei Tong, Zhong Tan, Xu Zhang

Journal of statistical physics

2021

Regularity of Weak Solutions to a Class of Nonlinear Problem

Jian-Feng Zhou, Zhong Tan

Acta Mathematica Scientia

2021

Global and exponential attractors for a class of non‐Newtonian micropolar fluids

Chengfei Ai, Zhong Tan

Mathematical Methods in the Applied Sciences

2021

Existence of global steady subsonic Euler flows with collision through 2D infinitely long nozzles

Fangyu Han, Zhong Tan

Mathematical Methods in the Applied Sciences

2021

Stability of the Walker Wall in Two Dimensions

Fangyu Han, Zhong Tan, Gan-Shan Yang

SIAM Journal on Mathematical Analysis

2021

Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources

Meng-Lan Liao, Zhong Tan

Science China Mathematics

2021

Pullback exponential attractors for a class of non-Newtonian micropolar fluids

Chengfei Ai, Zhong Tan

2021

Local existence and uniqueness of weak solutions to fractional pseudo-parabolic equation with singular potential

M. Xie, Zhong Tan, Zhong-Er Wu

Applied Mathematics Letters

2021

Solution semiflow to the compressible Euler equations with damping

Zhong Tan, Zhong-Er Wu, M. Xie

2021

Time periodic strong solutions to the Keller-Segel system coupled to Navier-Stokes equation

Zhong Tan, Zhong-Er Wu

2021

Decay estimates of solutions to the compressible micropolar fluids system in R3

Leilei Tong, R. Pan, Zhong Tan

2021

Existence and Properties of Solutions for a Class of Fractional Differential Equations

Yong Xu, Shu-Hong Chen, Zhong Tan

Acta Mathematicae Applicatae Sinica (English Series)

2021

Global existence and blowup of solutions to semilinear fractional reaction-diffusion equation with singular potential

Zhong Tan, M. Xie

Journal of Mathematical Analysis and Applications

2021

Inverse Boundary Value Problem for the Magnetohydrodynamics Equations

Lianhua He, Zhong Tan

Journal of Function Spaces

2021

Optimal decay rates of the solution for generalized Poisson–Nernst–Planck–Navier–Stokes equations in $${\mathbb {R}}^3$$

Leilei Tong, Zhong Tan

Zeitschrift für Angewandte Mathematik und Physik

2021

Global well-posedness for the 3D damped micropolar Bénard system with zero thermal conductivity

Xinliang Li, Zhong Tan

Applied Mathematics Letters

2021

Asymptotic stability for a class of viscoelastic equations with general relaxation functions and the time delay

Meng-Lan Liao, Zhong Tan

2021

Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential

Yanhua Deng, Zhong Tan, M. Xie

2020

Partial Regularity for Stationary Navier-Stokes Systems by the Method of $$\mathcal{A}$$-Harmonic Approximation

Yichen Dai, Zhong Tan

2020

The Decay Estimates for Magnetohydrodynamic Equations with Coulomb Force

Wenxuan Zheng, Zhong Tan

2020

Global solution and global orbit to reaction–diffusion equation for fractional Dirichlet‐to‐Neumann operator with subcritical exponent

Zhong Tan, Minghong Xie

Mathematical Methods in the Applied Sciences

2020

Regularity and energy conservation for compressible isentropic magnetohydrodynamic equations

Zhonger Wu, Zhong Tan

Mathematical Methods in the Applied Sciences

2020

Global well‐posedness and existence of uniform attractor for magnetohydrodynamic equations

Chengfei Ai, Zhong Tan, Jianfeng Zhou

Mathematical Methods in the Applied Sciences

2020

Global existence and asymptotic behavior for the 3D compressible magneto-micropolar fluids in a bounded domain

Qiuju Xu, Zhong Tan, Huaqiao Wang

Journal of Mathematical Physics

2020

The Asymptotic Stability of the Solution to the Full Hall-MHD System in $$\mathbb {R}^3$$R3

Leilei Tong, Zhong Tan

Bulletin of the Malaysian Mathematical Sciences Society

2020

Weak-strong uniqueness for the Navier-Stokes-Poisson equations

Lianhua He, Zhong Tan

Applied Mathematics Letters

2020

Mathematical modeling and qualitative analysis of viscoelastic conductive fluids

Zhong Tan, Yong Wang, Wenpei Wu

Analysis and Applications

2020

The initial value problem for the compressible magnetohydrodynamic equations without heat conductivity

Guo-Chun Wu, Zhong Tan, Wei-Yuan Zou

2020

Existence of mild solutions and regularity criteria of weak solutions to the viscoelastic Navier–Stokes equation with damping

Zhong Tan, Wenpei Wu, Jian-Feng Zhou

Communications in Mathematical Sciences

2020

Decay estimates of solutions to the bipolar compressible Euler–Poisson system in $$\pmb {\mathbb {R}^3}$$R3

Leilei Tong, Zhong Tan, Qiuju Xu

2020

The initial value problem for the compressible Navier-Stokes equations without heat conductivity

Qing Chen, Zhong Tan, Guo-Chun Wu, Wei-Yuan Zou

2020

Global existence and blow-up of solutions to a class of non-Newton filtration equations with singular potential and logarithmic nonlinearity

Meng-Lan Liao, Zhong Tan

2020

Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions

Jian-Feng Zhou, Zhong Tan

Journal of Mathematics and Physics

2020

On the integral equation with the axis-symmetric kernel

Zhong Tan, Yong Wang, Jian-Kai Xu

2019

非齐次不可压MHD方程的正则性与能量耗散

吴忠二,谭忠

《中国科学:数学》

2019

Partial Regularity of Stationary Navier-Stokes Systems under Natural Growth Condition

Lianhua He, Zhong Tan

Acta Mathematica Scientia

2019

A Global Existence Result for Korteweg System in the Critical LP Framework

Zhen-Sheng Gao, Yan Liang, Zhong Tan

Acta Mathematica Scientia

2019

On the Heat Flow of Equation of H-Surface

Guo-Chun Wu, Zhong Tan, Jian-Kai Xu

Acta Mathematica Scientia

2019

A Necessary Condition for Certain Integral Equations with Negative Exponents

Jian-Kai Xu, Zhong Tan, Weiwei Wang, Zepeng Xiong

Acta Mathematica Scientia

2019

On Integrability Up to the Boundary of the Weak Solutions to a Non-Newtonian Fluid

Shanshan Guo, Zhong Tan

Acta Mathematica Scientia

2019

On weak solution to the steady compressible flow of nematic liquid crystals

Qiuju Xu, Zhong Tan

Mathematical Methods in the Applied Sciences

2019

Well-posedness of compressible magneto-micropolar fluid equations

Cuiman Jia, Zhong Tan, Jian-Feng Zhou

2019

Time-splitting methods to solve the Hall-MHD systems with Lévy noises

Zhong Tan, Huaqiao Wang, Yucong Wang

Kinetic and Related Models

2019

Regularity of weak solutions to a certain class of parabolic system.

Zhong Tan, Jian-Feng Zhou

2019

A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation

Yichen Dai, Zhong Tan, Jia-Hong Wu

Zeitschrift für Angewandte Mathematik und Physik

2019

Optimal decay rates of the compressible magneto–micropolar fluids system in $\mathbb{R}^3$

Leilei Tong, Zhong Tan

Communications in Mathematical Sciences

2019

Global existence and decay estimate of solutions to magneto-micropolar fluid equations

Zhong Tan, Wenpei Wu, Jian-Feng Zhou

Journal of Differential Equations

2018

Global existence and time decay estimate of solutions to the Keller–Segel system

Zhong Tan, Jianfeng Zhou

Mathematical Methods in the Applied Sciences

2018

Hölder continuity of weak solution to a nonlinear problem with non-standard growth conditions

Zhong Tan, Jian-Feng Zhou, Wenxuan Zheng

Boundary Value Problems

2018

Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations

Zhong Tan, Leilei Tong

Zeitschrift für Angewandte Mathematik und Physik

2018

Uniqueness of conservative solutions to the modified two-component Camassa–Holm system via characteristics

H. Cai, Zhong Tan

2018

Regularity for the weak solutions to certain parabolic systems under certain growth condition

Cuiman Jia, Zhong Tan

Journal of Mathematical Analysis and Applications

2018

Existence and uniqueness of mild solutions to the magneto-hydro-dynamic equations

Zhong Tan, Wenpei Wu, Jian-Feng Zhou

Applied Mathematics Letters

2018

Partial regularity up to the boundary for solutions of subquadratic elliptic systems

Zhong Tan, Yanzhen Wang, Shu-Hong Chen

Advances in Nonlinear Analysis

2018

Decay estimate of solutions to the coupled chemotaxis–fluid equations inR3

Zhong Tan, Jian-Feng Zhou

Nonlinear Analysis: Real world applications

2018

Heat flow for Dirichlet-to-Neumann operator with critical growth

Fei Fang, Zhong Tan

2018

Lipschitz metric for conservative solutions of the modified two-component Camassa–Holm system

H. Cai, Zhong Tan

Zeitschrift für Angewandte Mathematik und Physik

2018

On the motion of the 3D compressible micropolar fluids with time periodic external forces

Zhong Tan, Qiuju Xu

Journal of Mathematics and Physics

2017

Decay estimates of solutions to the bipolar non-isentropic compressible Euler–Maxwell system

Zhong Tan, Yong Wang, Leilei Tong

Nonlinearity

2017

Asymptotic stability of stationary solutions for magnetohydrodynamic equations

Zhong Tan, Leilei Tong

2017

Stability of stationary solutions to the compressible bipolar Euler-Poisson equations

H. Cai, Zhong Tan

2017

Partial regularity of a certain class of non-Newtonian fluids

Zhong Tan, Jian-Feng Zhou

2017

On the outer pressure problem of the one-dimensional compressible Navier–Stokes equation with degenerate transport coefficients

Guo-Chun Wu, Qing Chen, Zhong Tan

2017

Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles

Yong Wang, Chun Liu, Zhong Tan

2017

Asymptotic behavior of the compressible non-isentropic Navier-Stokes-Maxwell system in $\mathbb{R}^3$

Zhong Tan, Leilei Tong

2017

Long-time behavior of solutions to the non-isentropic Euler–Poisson system in $\mathbb{R}^3$

Yun-Shun Wu, Zhong Tan, Yong Wang

2017

Time periodic solutions to the compressible Navier–Stokes–Poisson system with damping

H. Cai, Zhong Tan

2017

Large-time behaviour of solutions to a class of non-Newtonian compressible fluids

Shanshan Guo, Zhong Tan

2017

Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients

Zhong Tan, Yanzhen Wang, Shu-Hong Chen

2017

Existence of three solutions for quasilinear elliptic equations: an Orlicz-Sobolev space setting

Fei Fang, Zhong Tan

2017

Time decay rates for the compressible viscoelastic flows

Guo-Chun Wu, Zhen-Sheng Gao, Zhong Tan

2017

Integrability and asymptotic behaviors of positive solutions for some integral equations

Jian-Kai Xu, Huo-Xiong Wu, Zhong Tan

2017

Existence of a martingale weak solution to the Equations of Non-Stationary Motion of Non-Newtonian Fluids with a stochastic perturbation

Zhong Tan, Huaqiao Wang, Yucong Wang

2017

Asymptotic stability of stationary solutions to the compressible bipolar Navier–Stokes–Poisson equations

H. Cai, Zhong Tan

2017

Weak solution to the steady compressible flow of nematic liquid crystals

Zhong Tan, Qiuju Xu

2017

Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients

Zhong Tan, Yanzhen Wang

2016

Generic regularity and Lipschitz metric for the Hunter–Saxton type equations

Hong Cai, Geng Chen, Yannan Shen, Zhong Tan

Journal of Differential Equations

2016

The asymptotic behavior of globally smooth solutions to the compressible magnetohydrodynamic equations with Coulomb force

Zhong Tan, Yong Wang, Leilei Tong

Analysis and Applications

2016

Time periodic solution to the compressible Euler equations with damping in a periodic domain

Zhong Tan, Qiuju Xu, Huaqiao Wang

Nonlinearity

2016

A Generalized Poisson--Nernst--Planck--Navier--Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and Its Well-Posedness

Yong Wang, Chun Liu, Zhong Tan

SIAM Journal on Mathematical Analysis

2016

Existence and stability of stationary solutions to the compressible Navier–Stokes–Poisson equations

H. Cai, Zhong Tan

2016

分数Laplace演算子を含む非線形楕円問題のための多重度結果【Powered by NICT】

Yong-Qiang Xu, Zhong Tan, Dao-Heng Sun

2016

Higher integrability of weak solution of a nonlinear problem arising in the electrorheological fluids

Zhong Tan, Jian-Feng Zhou

2016

Time periodic solutions to the 3D compressible fluid models of Korteweg type

Zhong Tan, Qiuju Xu

2016

Weak time-periodic solutions to the compressible navier-stokes equations

H. Cai, Zhong Tan

2016

Partial regularity for subquadratic parabolic systems under controllable growth conditions

Yichen Dai, Zhong Tan, Shu-Hong Chen

2016

Regularity of weak solutions of compressible isentropic self-gravitating fluid

Ling Zhao, Zhong Tan

2016

Local 4/5-law and energy dissipation anomaly in turbulence of incompressible MHD Equations

Shanshan Guo, Zhong Tan

2016

Global existence and large time behavior of the asymmetric fluids

Zhong Tan, Leilei Tong

Zeitschrift für Angewandte Mathematik und Physik

2016

Decay estimates of solutions to the compressible Navier–Stokes–Maxwell system in $\mathbb{R}^3$

Zhong Tan, Leilei Tong

2016

Multiplicity results for a nonlinear elliptic problem involving the fractional laplacian

Yong-Qiang Xu, Zhong Tan, Dao-Heng Sun

2016

Retraction Note to: Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations

Zhong Tan, De-Hua Wang, Huaqiao Wang

Mathematische Annalen

2015

On hyperbolic-dissipative systems of composite type

Zhong Tan, Yanjin Wang

Journal of Differential Equations

2015

RETRACTED ARTICLE: Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations

Zhong Tan, Dehua Wang, Huaqiao Wang

Mathematische Annalen

2015

Global and blowup solutions of semilinear heat equation involving the square root of the Laplacian

Xu Yongqiang, Zhong Tan, Daoheng Sun

Boundary Value Problems

2015

Time decay rates for the equations of the compressible heat-conductive flow through porous media☆

Qing Chen, Zhong Tan, Guo-Chun Wu

2015

Time periodic solutions to the three--dimensional equations of compressible magnetohydrodynamic flows

H. Cai, Zhong Tan

2015

The global wellposedness of the 3D heat-conducting viscous incompressible fluids with bounded density

Xu Zhang, Zhong Tan

2015

Asymptotic behavior of solutions to the compressible bipolar Euler–Maxwell system in $\mathbb{R}^3$

Zhong Tan, Yong Wang

2015

Stability of Steady States of the Navier-Stokes-Poisson Equations with Non-Flat Doping Profile

Zhong Tan, Yanjin Wang, Yong Wang

SIAM Journal on Mathematical Analysis

2015

Global existence and convergence rates for the compressible magnetohydrodynamic equations without heat conductivity

Zhong Tan, Qiuju Xu, Huaqiao Wang

2015

Large-time behavior of the full compressible Euler-Poisson system without the temperature damping

Zhong Tan, Yong Wang, Fan-Hui Xu

2015

Time periodic solutions of non-isentropic compressible magnetohydrodynamic system

Qiuju Xu, H. Cai, Zhong Tan

2015

Radial symmetry and asymptotic behaviors of positive solutions for certain nonlinear integral equations

Jian-Kai Xu, Huo-Xiong Wu, Zhong Tan

2015

Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force

Zhong Tan, Leilei Tong, Yong Wang

2015

Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems

Zhong Tan, Yanjin Wang

SIAM Journal on Mathematical Analysis

2015

Time periodic solutions to Navier-Stokes-Korteweg system with friction

H. Cai, Zhong Tan, Qiuju Xu

2015

Periodic solutions to the compressible magnetohydrodynamic equations in a periodic domain

H. Cai, Zhong Tan

2015

ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R3

Yun-Shun Wu, Zhong Tan

2015

Energy dissipation for weak solutions of incompressible liquid crystal flows

Shanshan Guo, Zhong Tan

2015

Weak time-periodic solutions to the compressible Navier–Stokes–Poisson equations

H. Cai, Zhong Tan

2014

Stability of steady states of the compressible Euler–Poisson system in R3

Yong Wang, Zhong Tan

Journal of Mathematical Analysis and Applications

2014

Zero Surface Tension Limit of Viscous Surface Waves

Zhong Tan, Yanjin Wang

Communications in Mathematical Physics

2014

Regularity criteria for the three-dimensional magnetohydrodynamic equations

Jishan Fan, Fu-Cai Li, G. Nakamura, Zhong Tan

2014

Boundary regularity for quasilinear elliptic systems with super quadratic controllable growth condition

Shu-Hong Chen, Zhong Tan

Boundary Value Problems

2014

Solution theory of Ginzburg-Landau theory on BCS-BEC crossover

Shu-Hong Chen, Zhong Tan

2014

Decay estimates of the coupled chemotaxis-fluid equations in R-3

Zhong Tan, Xu Zhang

2014

Global existence and convergence rates for the smooth solutions to the compressible magnetohydrodynamic equations in the half space

Qing Chen, Zhong Tan

Environmental Systems Research

2014

Time decay of solutions to the compressible Euler equations with damping

Qing Chen, Zhong Tan

2014

Decay estimates of the non-isentropic compressible fluid models of Korteweg type in $R^3$

Xu Zhang, Zhong Tan

2014

The non-existence results for a class of integral equation

Jian-Kai Xu, Huo-Xiong Wu, Zhong Tan

2014

GLOBAL EXISTENCE AND CONVERGENCE RATES OF SMOOTH SOLUTIONS FOR THE 3-D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITHOUT HEAT CONDUCTIVITY

Zhen-Sheng Gao, Zhong Tan, Guo-Chun Wu

2014

Time periodic solutions of the non-isentropic compressible fluid models of Korteweg type

H. Cai, Zhong Tan, Qiuju Xu

2013

一个耦合双曲-抛物系统的全局光滑解

张映辉,谭忠,孙明保

《数学年刊A辑(中文版)》

2013

Large-time behavior of solutions to the compressible non-isentropic Euler–Maxwell system in

Zhong Tan, Yong Wang

Nonlinear Analysis Real World Applications

2013

Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations

Yinghui Zhang, Ronghua Pan, Zhong Tan

Science China Mathematics

2013

Optimal decay rates of the compressible fluid models of Korteweg type

Zhong Tan, Rongfang Zhang

Zeitschrift für angewandte Mathematik und Physik

2013

Global Solutions to the One-Dimensional Compressible Navier--Stokes--Poisson Equations with Large Data

Zhong Tan, Tong Yang, Huijiang Zhao, Qingyang Zou

SIAM Journal on Mathematical Analysis

2013

Optimal decay rates of the compressible magnetohydrodynamic equations

Zhong Tan, Huaqiao Wang

2013

Nontrivial solutions for semilinear dirichlet forms via morse theory

Fei Fang, Zhong Tan

2013

Optimal partial regularity of second-order parabolic systems under natural growth condition

Shu-Hong Chen, Zhong Tan

2013

Variable Exponent Sobolev Spaces for Semilinear Elliptic Systems

Zhong Tan, Fei Fang

2013

NONTRIVIAL SOLUTIONS FOR N-LAPLACIAN EQUATIONS WITH SUB-EXPONENTIAL GROWTH

Zhong Tan, Fei Fang

2013

Blow-up of solutions for a time-space fractional evolution system

Yong-Qiang Xu, Zhong Tan

Acta Mathematica Sinica. English series

2013

Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition

Shu-Hong Chen, Zhong Tan

2013

Energy dissipation for weak solutions of incompressible MHD equations

Zhen-Sheng Gao, Zhong Tan, Guo-Chun Wu

2013

Zero dissipation limit with two interacting shocks of the 1D non{isentropic Navier{Stokes equations

Ying-Hui Zhang, R. Pan, Yi Wang, Zhong Tan

2013

OPTIMAL PARTIAL REGULARITY RESULTS FOR NONLINEAR ELLIPTIC SYSTEMS IN CARNOT GROUPS

Shu-Hong Chen, Zhong Tan

2013

Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system

Ying-Hui Zhang, Zhong Tan, Ming-Bao Sun

2013

Time periodic solutions of the compressible magnetohydrodynamic equations

Zhong Tan, Huaqiao Wang

2013

ASYMPTOTIC BEHAVIOR OF NAVIER-STOKES-KORTEWEG WITH FRICTION IN R-3

Zhong Tan, Xu Zhang, Huaqiao Wang

2012

一个模拟趋化现象的广义双曲-抛物系统的光滑解的全局分析

张映辉,谭忠,赖柏顺,孙明保

《数学年刊A辑(中文版)》

2012

Global solution and large-time behavior of the 3D compressible Euler equations with damping

Zhong Tan, Yong Wang

Journal of Differential Equations

2012

Decay of the non-isentropic Navier–Stokes–Poisson equations

Zhong Tan, Xu Zhang

Journal of Mathematical Analysis and Applications

2012

Large time behavior of solutions to the isentropic compressible fluid models of Korteweg type in R³

Zhong Tan, Yong Wang

Communications in Mathematical Sciences

2012

A global existence result for the compressible Navier–Stokes–Poisson equations in three and higher dimensions

Zhensheng Gao, Zhong Tan

Annales Polonici Mathematici

2012

LPS's Criterion for Incompressible Nematic Liquid Crystal Flows

Qing Chen, Zhong Tan, Guo-Chun Wu

2012

Blow-up of viscous compressible reactive self-gravitating gas

F. Jiang, Zhong Tan

2012

Global existence and large time behavior for the system of compressible adiabatic flow through porous media in R 3

Guo-Chun Wu, Zhong Tan, Jun Huang

2012

Global existence and optimal decay rate for the strong solutions in H2 to the 3-D compressible Navier–Stokes equations without heat conductivity

Zhong Tan, Huaqiao Wang

2012

Boundary regularity result for quasilinear elliptic systems

Shu-Hong Chen, Zhong Tan

2012

Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals

Guo-Chun Wu, Zhong Tan

Journal of Differential Equations

2012

The initial value problem for the equation of motion of irrotational inviscid and heat conductive fluids

Zhong Tan, Guo-Chun Wu, B. Guo

2012

Boundary regularity for elliptic systems with supquadratic growth

Shu-Hong Chen, Zhong Tan

Journal of Inequalities and Applications

2012

Large time behavior of solutions for compressible Euler equations with damping in R-3

Zhong Tan, Guo-Chun Wu

2012

Blow-up of smooth solutions to the compressible fluid models of Korteweg type

Ying-Hui Zhang, Zhong Tan

Acta Mathematica Sinica. English series

2012

Global solution and time decay of the compressible Euler-Maxwell system in R3

Zhong Tan, Yanjin Wang, Yong Wang

2012

Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions

Zhong Tan, Guo-Chun Wu

2012

Decay estimates of solutions to the compressible Euler-Maxwell system in R3

Zhong Tan, Yanjin Wang, Yong Wang

2012

Global existence and optimal L-2 decay rate for the strong solutions to the compressible fluid models of Korteweg type

Zhong Tan, Huaqiao Wang, Jian-Kai Xu

2012

Global well-posedness of the compressible bipolar Euler-Maxwell system in R^3

Zhong Tan, Yong Wang

2012

LARGE TIME BEHAVIOR OF SOLUTIONS TO THE NON-ISENTROPIC COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM IN R-3

Zhong Tan, Yong Wang, Xu Zhang

2012

Global existence in critical spaces for the compressible magnetohydrodynamic equations

Qing Chen, Zhong Tan

2012

On superlinear p(x)-Laplacian problems without Ambrosetti and Rabinowitz condition

Zhong Tan, Fei Fang

2012

Existence and multiplicity of solutions for a class of quasilinear elliptic equations: An Orlicz–Sobolev space setting

Fei Fang, Zhong Tan

2012

Blow-up criterion of classical solutions for the incompressible nematic liquid crystal flows

Zhen-Sheng Gao, Zhong Tan

2012

Optimal partial regularity for nonlinear sub-elliptic systems☆

Shu-Hong Chen, Zhong Tan

2012

The well-posedness of the compressible non-isentropic Euler-Maxwell system in R^3

Zhong Tan, Yong Wang

2011

Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow

Yinghui Zhang, Zhong Tan

Acta Mathematicae Applicatae Sinica English Series

2011

Global existence of weak solutions for the Navier–Stokes equations with capillarity on the half-line

Zhong Tan, Rongcong Guo

Nonlinear Differential Equations and Applications NoDEA

2011

Optimal decay rates for the compressible fluid models of Korteweg type

Yanjin Wang, Zhong Tan

2011

Zero relaxation limit to centered rarefaction waves for JinXin relaxation system

Ying-Hui Zhang, Zhong Tan, Ming-Bao Sun

2011

Strong solutions to the incompressible magnetohydrodynamic equations

Qing Chen, Zhong Tan, Yanjin Wang

2011

A note on global existence of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force

F. Jiang, Zhong Tan, Huaqiao Wang

2011

Global existence and optimal decay rate for the strong solutions in H2 to the compressible Navier-Stokes equations

Yanjin Wang, Zhong Tan

Applied Mathematics Letters

2011

Global existence of the finite energy weak solutions to a nematic liquid crystals model

Jian-Kai Xu, Zhong Tan

2010

On the heat flow of equation of surfaces of constant mean curvatures

Tao Huang, Zhong Tan, Changyou Wang

manuscripta mathematica

2010

Shape optimization in two-dimensional viscous compressible fluids

Zhong Tan, Ying-Hui Zhang

2010

Global existence and asymptotic analysis of weak solutions to the equations of Ferrohydrodynamics

Yanjin Wang, Zhong Tan

2010

Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case under Natural Growth Condition

Shu-Hong Chen, Zhong Tan

2010

Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations

Qing Chen, Zhong Tan

2010

BLOW-UP OF SMOOTH SOLUTIONS TO THE NAVIER–STOKES EQUATIONS OF COMPRESSIBLE VISCOUS HEAT-CONDUCTING FLUIDS

Zhong Tan, Yanjin Wang

Journal of the Australian Mathematical Society

2010

OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

Shu-Hong Chen, Zhong Tan

2010

On radially symmetric solutions of the compressible isentropic self-gravitating fluid

F. Jiang, Zhong Tan

2010

Global analysis for strong solutions to the equations of a ferrofluid flow model

Zhong Tan, Yanjin Wang

2010

Existence and asymptotic behavior of global smooth solution for p-System with damping and boundary effect

Ying-Hui Zhang, Zhong Tan

2010

NAVIER-STOKES-POISSON EQUATIONS FOR ISENTROPIC COMPRESSIBLE FLUIDS

Zhong Tan, Ying-Hui Zhang

2010

STRONG SOLUTIONS FOR THE INCOMPRESSIBLE FLUID MODELS OF KORTEWEG TYPE

谭忠,王焰金

Acta Mathematica Scientia

2009

等熵可压Navier-Stokes-Poisson方程局部强解适定性

尹俊平,谭忠

《数学物理学报》

2009

初始值具有小能量的高维H系统热流

黄涛,谭忠

《数学学报(中文版)》

2009

Global existence of the radially symmetric strong solution to Navier-Stokes-Poisson equations for isentropic compressible fluids

Jun Ping Yin, Zhong Tan

Acta Mathematica Sinica English Series

2009

WITHDRAWN: A limit regularity condition for the boundary problem of harmonic heat flow into spheres

Tao Huang, Zhong Tan

Nonlinear Analysis

2009

Local existence of the strong solutions for the full Navier–Stokes–Poisson equations

Junping Yin, Zhong Tan

Nonlinear Analysis

2009

On the domain dependence of solutions to the Navier–Stokes equations of a two‐dimensional compressible flow

F. Jiang, Zhong Tan

2009

Global weak solution to the flow of liquid crystals system

F. Jiang, Zhong Tan

2009

Global existence and large-time behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force

Zhong Tan, Yanjin Wang

2009

Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid

F. Jiang, Zhong Tan

2009

Asymptotic compactness of global trajectories generated by the Navier–Stokes–Poisson equations of a compressible fluid

F. Jiang, Zhong Tan, Q. Yan

2008

粘性项依赖于密度的完全Navier-Stokes方程强解的存在唯一性

尹俊平,谭忠

《厦门大学学报(自然科学版)》

2008

粘性系数依赖于密度的Korteweg型不可压流体的强解问题

王焰金,谭忠

《数学学报(中文版)》

2008

The method of A-harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition

Shu Hong Chen, Zhong Tan

Acta Mathematica Sinica English Series

2008

Propagation of density-oscillations in solutions to the compressible Navier-Stokes-Poisson system

Zhong Tan, Yanjin Wang

Chinese Annals of Mathematics Series B

2008

Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids

Junping Yin, Zhong Tan

Chinese Annals of Mathematics Series B

2007

H系统热流在有限奇性时间的能量等式

黄涛,谭忠

《中国科学:数学》

2007

Optimal interior partial regularity for nonlinear elliptic systems under the natural growth condition: the method of A-harmonic approximation

Shuhong Chen, Zhong Tan

Acta Mathematica Scientia

2007

Energy identity of the heat flow of H-systems at finite singular time

Tao Huang, Zhong Tan

2007

On the existence of solutions to the Navier–Stokes–Poisson equations of a two‐dimensional compressible flow

Ying-Hui Zhang, Zhong Tan

2007

The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition

Shu-Hong Chen, Zhong Tan

2007

The method of p-harmonic approximation and optimal interior partial regularity for energy minimizing p-harmonic maps under the controllable growth condition

Shu-Hong Chen, Zhong Tan

2006

p -调和逼近方法和可控增长条件下能量极小 p -调和映射的最优内部正则性

Shu-Hong Chen, Zhong Tan

2005

Continuous Dependence on the Initial-time Geometry for a Parabolic Equation from Dynamo Theory with Different Prescribed Data

陈展,谭忠

Communications in Mathematical Research

2004

Non-Newton Filtration Equation with Nonconstant Medium Void and Critical Sobolev Exponent

Zhong Tan, Xian Gao Liu

Acta Mathematica Sinica English Series

2004

NON-NEWTON FILTRATION EQUATION WITH SPECIAL MEDIUM VOID

Zhong Tan

Acta Mathematica Scientia

2004

The Continuous Dependence on the Initial-time Geometry for the Weak Solutions of Improperly Posed P-Laplace Equation

Zhong Tan

Journal of Xiamen University

2004

The existence and asymptotic behavior of the evolution p-Laplacian equations with strong nonlinear sources

Zhong Tan, Zheng-An Yao

2003

SARS传播的数学原理及预测与控制

邹宇庭,郑晓练,缪旭晖,谭忠

《工程数学学报》

2003

The concentration‐compactness principle and the asymptotic behavior for some degenerate parabolic equation

Zhong Tan

Asymptotic Analysis

2002

半线性椭圆方程的多解存在性(英文)

谭忠,姚正安

《数学进展》

2002

The reaction–diffusion equation with Lewis function and critical Sobolev exponent

Zhong Tan

Journal of Mathematical Analysis and Applications

2001

具有特殊扩散过程的反应扩散方程

谭忠

《数学年刊A辑(中文版)》

2001

退缩抛物方程整体解渐近性与轨道有界性

谭忠,刘宪高

《数学年刊A辑(中文版)》

2001

The existence of multiple solutions of p -laplacian elliptic equation

Zhong Tan, Zheng‐an Yao

Acta Mathematica Scientia

2001

GLOBAL SOLUTION AND BLOWUP OF SEMILINEAR HEAT EQUATION WITH CRITICAL SOBOLEV EXPONENT

Zhong Tan

Communications in Partial Differential Equations

2001

THE REACTION DIFFUSION EQUATIONS WITH SPECIAL DIFFUSION PROCESSES

Zhong Tan

Chinese Annals of Mathematics,series A

2001

Concentration phenomena in the semilinear parabolic equation

Zhong Tan

Science in China Series A Mathematics

2001

Global and blowup solutions of quasilinear parabolic equation with critical Sobolev exponent and lower energy initial value

Zhong Tan, Zheng-An Yao

2000

半线性抛物方程的集中现象

谭忠

《中国科学:数学》

1995

带测度项的退缩椭圆方程弱解的正则性

谭忠

《厦门大学学报(自然科学版)》

1995

广义Campanato-Morrey空间及其应用

谭忠

《厦门大学学报(自然科学版)》

1995

具有临界指数的双调和方程的非平凡解的存在性

谭忠

《厦门大学学报(自然科学版)》

1995

C 1,α -PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

Zhong Tan

Acta Mathematica Scientia

1994

障碍问题弱解的部分正则性

谭忠

《厦门大学学报(自然科学版)》

1994

函数类S±(G,p,C,λ)与双障碍问题

谭忠

《厦门大学学报(自然科学版)》

预印本

2026

On the Yamabe flow in a bounded domain

Fei Fang, Zhong Tan

arXiv (Cornell University)

2026

Variational problems related to self-similar solutions of Hardy-Sobolev heat equation in RN

Fei Fang, Zhong Tan

arXiv (Cornell University)

2026

Global existence and blow-up for the Hardy-Sobolev parabolic equation in RN

Fei Fang, Zhong Tan

arXiv (Cornell University)

2024

Asymptotic Behavior of Solutions for the Fractional Critical Heat Equation in Rn

Zhong Tan, Yang Yi

SSRN Electronic Journal

2021

Global existence and decay estimate of solution to compressible quantum Navier-Stokes equations with damping

Zhonger Wu, Zhong Tan, Xu TANG

书籍章节

2024

Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow

Zhong Tan, Xinliang Li, Hui Yang

Acta Mathematica Scientia

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