Research

Fluid equations and kinetic theory

I study incompressible fluid equations and vortex dynamics. My recent work also extends to kinetic equations, with a particular interest in Landau damping for Vlasov–Poisson systems.

Current themes

Incompressible fluidsRegularity, singularity formation, and long-time dynamics.
Vortex patch dynamicsBoundary evolution, rotating structures, and multiple connectivity.
Kinetic equationsLandau damping and dispersive behavior for Vlasov–Poisson systems.

Selected publications

Complete list in CV

2026
Uniformly rotating vortex patches with arbitrarily many genuine holes
with Weicheng Zhan · preprint · PDF · BibTeX
2025
A revisit of patch solutions for the 2D Loglog-Euler type equation
with Changhui Tan and Liutang Xue · preprint · PDF · BibTeX
2026
Doubly connected V-states in geophysical models: a general framework
with Taoufik Hmidi and Liutang Xue · Calc. Var. 65, 137 · PDF · BibTeX
2026
Unified theory on V-states structures for active scalar equations
with Taoufik Hmidi and Liutang Xue · Adv. Math. 486, 110750 · PDF · BibTeX

Selected publications

Uniformly rotating vortex patches with arbitrarily many genuine holes

A revisit of patch solutions for the 2D Loglog-Euler type equation

Doubly connected V-states in geophysical models: a general framework

Unified theory on V-states structures for active scalar equations