范丽丽｜河南师范大学｜学者主页

期刊论文

2026

Boundary effect on a stationary viscous shock profiles for a hyperbolic system with Cattaneo’s law in a 1d half space

Lili Fan, Yin-Cuo Bai

Acta Mathematica Scientia

DOI

2026

Exact viscous flow describing the dynamics of the atmosphere away from the Equator

Lili Fan, Xin Zhang

Monatshefte für Mathematik (Print)

DOI

2025

Exact solutions for nonlinear trapped lee waves in the β-plane approximation

Lili Fan, Ruonan Liu, Heyang Li

Journal of Mathematical Analysis and Applications

DOI

2025

Modulational instability in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e110" altimg="si659.svg"><mml:mi>b</mml:mi></mml:math>-family equation

Lili Fan, Xingchang Wang, Runzhang Xu

Physica A: Statistical Mechanics and its Applications

DOI

2025

Steady azimuthal equatorial flows in cylindrical coordinates with stratification

Lili Fan, Heyang Li

Monatshefte für Mathematik (Print)

DOI

2025

Stability of some recent exact solutions to the three-dimensional geophysical Euler equations

Lili Fan, Xin Zhang, Heyang Li

Applicable Analysis

DOI

2024

Spectral analysis of the periodic b-KP equation under transverse perturbations

Robin Ming Chen, Lili Fan, Xingchang Wang, Runzhang Xu

Mathematische Annalen

DOI

2024

Nonlinear stability of viscous shock profiles for a hyperbolic system with Cattaneo's law in one‐dimensional half space

Yin-Cuo Bai, Lili Fan, Huijiang Zhao

Mathematical methods in the applied sciences

DOI

2023

Rigidity of three-dimensional steady internal waves with constant vorticity governed by the f -plane approximation

Lili Fan, Ruonan Liu, Qingkun Xiao

Nonlinear Analysis Real World Applications

DOI

2023

A cylindrical coordinates approach concerning azimuthal geophysical flows

Lili Fan, Shuge Shen

Monatshefte für Mathematik

DOI

2022

An exact solution representing equatorial wind-drift currents with depth-dependent continuous stratification

Lili Fan, Ruonan Liu

Monatshefte für Mathematik

DOI

2022

On the Geophysical Green-Naghdi System

Lili Fan, Hui Gao, Haochen Li

Journal of Nonlinear Science

DOI

2021

A cylindrical coordinates approach concerning the Antarctic Circumpolar Current

Lili Fan, Shuge Shen, Yingying Chen

Monatshefte für Mathematik

DOI

2021

The Cauchy problem for fractional Camassa–Holm equation in Besov space

Lili Fan, Hui Gao, Junfang Wang, Wei Ming Yan

Nonlinear Analysis Real World Applications

DOI

2020

On three-dimensional geophysical capillary–gravity water flows with constant vorticity

Lili Fan, Hongjun Gao

Annali di Matematica Pura ed Applicata (1923 -)

DOI

2019

一维辐射方程边界层解的存在性

田恒，范丽丽

《武汉轻工大学学报》

2019

The Cauchy problem for shallow water waves of large amplitude in Besov space

Lili Fan, Wei Ming Yan

Journal of Differential Equations

DOI

2019

Mean velocities in an irrotational equatorial wind wave

Lili Fan

Applied Numerical Mathematics

DOI

2018

An exact solution for geophysical trapped waves in the presence of an underlying current

Lili Fan, Hui Gao, Qingkun Xiao

Dynamics of Partial Differential Equations

DOI

2018

On the weak solutions and persistence properties for the variable depth KDV general equations

Lili Fan, Wei Ming Yan

Nonlinear Analysis Real World Applications

DOI

2017

Extrema of the dynamic pressure in an irrotational Stokes wave with underlying currents and infinite depth

Lili Fan, Hui Gao, Lei Mao

Nonlinear Analysis

DOI

2017

Steady periodic rotational gravity waves with negative surface tension

Lili Fan, Hui Gao

Japan Journal of Industrial and Applied Mathematics

DOI

2016

Instability of equatorial edge waves in the background flow

Lili Fan, Hui Gao

Proceedings of the American Mathematical Society

DOI

2010

大初始扰动下二维阻尼波动方程平面边界层解的稳定性和收敛率

范丽丽

《武汉大学》

预印本

2026

Modulational stability of the periodic traveling wave in a local model for shallow water waves

Lili Fan, Xin Zhang, Hongjun Gao

arXiv preprint

2026

Spectral stability in the modified Camassa-Holm equation

Lili Fan, Hongjun Gao, Ji Li

arXiv preprint

2022

Equatorial wind-drift currents with a continuous stratification and centripetal effects in the $β$-plane setting

Lili Fan, Ruonan Liu

arXiv preprint

2022

Hamiltonian model for coupled surface and internal waves over currents and uneven bottom

Lili Fan, Ruonan Liu, Hongjun Gao

arXiv preprint

DOI

2022

Rigidity of three-dimensional internal waves with constant vorticity

Robin Ming Chen, Lili Fan, Samuel Walsh, Miles H. Wheeler

arXiv preprint

DOI

范丽丽

精选作品

期刊论文

Boundary effect on a stationary viscous shock profiles for a hyperbolic system with Cattaneo’s law in a 1d half space

Exact viscous flow describing the dynamics of the atmosphere away from the Equator

Exact solutions for nonlinear trapped lee waves in the β-plane approximation

Modulational instability in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e110" altimg="si659.svg"><mml:mi>b</mml:mi></mml:math>-family equation

Steady azimuthal equatorial flows in cylindrical coordinates with stratification

Stability of some recent exact solutions to the three-dimensional geophysical Euler equations

Spectral analysis of the periodic b-KP equation under transverse perturbations

Nonlinear stability of viscous shock profiles for a hyperbolic system with Cattaneo's law in one‐dimensional half space

Rigidity of three-dimensional steady internal waves with constant vorticity governed by the f -plane approximation

A cylindrical coordinates approach concerning azimuthal geophysical flows

An exact solution representing equatorial wind-drift currents with depth-dependent continuous stratification

On the Geophysical Green-Naghdi System

A cylindrical coordinates approach concerning the Antarctic Circumpolar Current

The Cauchy problem for fractional Camassa–Holm equation in Besov space

On three-dimensional geophysical capillary–gravity water flows with constant vorticity

一维辐射方程边界层解的存在性

The Cauchy problem for shallow water waves of large amplitude in Besov space

Mean velocities in an irrotational equatorial wind wave

An exact solution for geophysical trapped waves in the presence of an underlying current

On the weak solutions and persistence properties for the variable depth KDV general equations

Extrema of the dynamic pressure in an irrotational Stokes wave with underlying currents and infinite depth

Steady periodic rotational gravity waves with negative surface tension

Instability of equatorial edge waves in the background flow

大初始扰动下二维阻尼波动方程平面边界层解的稳定性和收敛率

预印本

Modulational stability of the periodic traveling wave in a local model for shallow water waves

Spectral stability in the modified Camassa-Holm equation

Equatorial wind-drift currents with a continuous stratification and centripetal effects in the $β$-plane setting

Hamiltonian model for coupled surface and internal waves over currents and uneven bottom

Rigidity of three-dimensional internal waves with constant vorticity

研究方向