詹伟城｜厦门大学｜学者主页

期刊论文

2024

Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation

Daomin Cao, Guo-Lin Qin, Wei-Cheng Zhan, Changjun Zou

Annals of PDE

DOI

2024

Free boundary problems for the two-dimensional Euler equations in exterior domains

Daomin Cao, Bo-Quan Fan, Wei-Cheng Zhan

Nonlinear Analysis: Real world applications

DOI

2023

Existence of traveling asymmetric vortex pairs in an ideal fluid

Dao-Min Cao, Guo-Lin Qin, Wei-Cheng Zhan, C. Zou

Journal of Differential Equations

DOI

2023

Kármán vortex street for the generalized surface quasi-geostrophic equation

Dao-Min Cao, Guo-Lin Qin, Wei-Cheng Zhan, C. Zou

Calculus of Variations and Partial Differential Equations

DOI

2023

Remarks on orbital stability of steady vortex rings

Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou

Transactions of the American Mathematical Society

DOI

2022

Asymptotic behaviour of global vortex rings

Dao-Min Cao, Jie Wan, Guodong Wang, Wei-Cheng Zhan

Nonlinearity

DOI

2022

Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation

Dao-Min Cao, Shanfa Lai, Guo-Lin Qin, Wei-Cheng Zhan, C. Zou

Mathematische Annalen

DOI

2022

Global solutions for the generalized SQG equation and rearrangements

Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou

Transactions of the American Mathematical Society

DOI

2021

On the global classical solutions for the generalized SQG equation

Dao-Min Cao, Guo-Lin Qin, Wei-Cheng Zhan, C. Zou

Journal of Functional Analysis

DOI

2021

Existence and stability of smooth traveling circular pairs for the generalized surface quasi-geostrophic equation

Dao-Min Cao, Guo-Lin Qin, Wei-Cheng Zhan, C. Zou

DOI

2021

Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation

Dao-Min Cao, Guo-Lin Qin, Wei-Cheng Zhan, C. Zou

DOI

2020

Traveling vortex pairs for 2D incompressible Euler equations

Dao-Min Cao, Shanfa Lai, Wei-Cheng Zhan

Calculus of Variations and Partial Differential Equations

DOI

2020

Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method

Dao-Min Cao, Guodong Wang, Wei-Cheng Zhan

SIAM Journal on Mathematical Analysis

DOI

2020

On the Steady Axisymmetric Vortex Rings for 3D Incompressible Euler Flows

Dao-Min Cao, Wei-Cheng Zhan

SIAM Journal on Mathematical Analysis

DOI

2019

Steady vortex patches near a nontrivial irrotational flow

Dao-Min Cao, Guodong Wang, Wei-Cheng Zhan

Science China Mathematics

DOI

2019

Rotating vortex patches for the planar Euler equations in a disk

Dao-Min Cao, Jie Wan, Guodong Wang, Wei-Cheng Zhan

Journal of Differential Equations

DOI

2019

Desingularization of vortex rings in 3 dimensional Euler flows

Dao-Min Cao, Jie Wan, Wei-Cheng Zhan

Journal of Differential Equations

DOI

预印本

2026

Uniformly Rotating Vortex Patches with Arbitrarily Many Genuine Holes

Zhilong Xue, Weicheng Zhan

arXiv preprint

2026

Rigidity of stationary and uniformly rotating planar Euler flows in the $C^1$ Yudovich class

Boquan Fan, Yuchen Wang, Chunjing Xie, Weicheng Zhan

arXiv preprint

2026

A Variational Family of Traveling Vortex Dipoles: Transition, Uniqueness, and Stability

Ken Abe, In-Jee Jeong, Guolin Qin, Weicheng Zhan

arXiv preprint

2025

Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation

Boquan Fan, Yuchen Wang, Weicheng Zhan

arXiv preprint

2023

A Liouville theorem for the Euler equations in a disk

Yuchen Wang, Weicheng Zhan

arXiv preprint

2023

A rigidity result for the Euler equations in an annulus

Yuchen Wang, Weicheng Zhan

arXiv preprint

2023

On the rigidity of the 2D incompressible Euler equations

Yuchen Wang, Weicheng Zhan

arXiv preprint

2022

Existence and Stability of the Lamb Dipoles for the Quasi-Geostrophic Shallow-Water Equations

Shanfa Lai, Guolin Qin, Weicheng Zhan

arXiv (Cornell University)

DOI

2022

Existence, uniqueness and stability of steady vortex rings of small cross-section

Daomin Cao, Guolin Qin, Weilin Yu, Weicheng Zhan, Changjun Zou

arXiv preprint

2021

Existence of co-rotating and travelling vortex patches with doubly connected components for active scalar equations

Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou

arXiv preprint

2019

On desingularization of steady vortex in the lake equations

Daomin Cao, Weicheng Zhan, Changjun Zou

arXiv preprint

2019

Steady vortex flows of perturbation type in a planar bounded domain

Daomin Cao, Guodong Wang, Zhan Weicheng

arXiv preprint

詹伟城

精选作品

期刊论文

Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation

Free boundary problems for the two-dimensional Euler equations in exterior domains

Existence of traveling asymmetric vortex pairs in an ideal fluid

Kármán vortex street for the generalized surface quasi-geostrophic equation

Remarks on orbital stability of steady vortex rings

Asymptotic behaviour of global vortex rings

Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation

Global solutions for the generalized SQG equation and rearrangements

On the global classical solutions for the generalized SQG equation

Existence and stability of smooth traveling circular pairs for the generalized surface quasi-geostrophic equation

Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation

Traveling vortex pairs for 2D incompressible Euler equations

Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method

On the Steady Axisymmetric Vortex Rings for 3D Incompressible Euler Flows

Steady vortex patches near a nontrivial irrotational flow

Rotating vortex patches for the planar Euler equations in a disk

Desingularization of vortex rings in 3 dimensional Euler flows

预印本

Uniformly Rotating Vortex Patches with Arbitrarily Many Genuine Holes

Rigidity of stationary and uniformly rotating planar Euler flows in the $C^1$ Yudovich class

A Variational Family of Traveling Vortex Dipoles: Transition, Uniqueness, and Stability

Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation

A Liouville theorem for the Euler equations in a disk

A rigidity result for the Euler equations in an annulus

On the rigidity of the 2D incompressible Euler equations

Existence and Stability of the Lamb Dipoles for the Quasi-Geostrophic Shallow-Water Equations

Existence, uniqueness and stability of steady vortex rings of small cross-section

Existence of co-rotating and travelling vortex patches with doubly connected components for active scalar equations

On desingularization of steady vortex in the lake equations

Steady vortex flows of perturbation type in a planar bounded domain

研究方向