AIMS Home

Recent Progress on Mathematical Analysis of PDEs Arising in Fluid Dynamics

Organizer(s):
Name:	Affiliation:	Country:
Huanyao Wen	South China University of Technology	Peoples Rep of China
Huijiang Zhao	Wuhan University	Peoples Rep of China
Changjiang Zhu	South China University of Technology	Peoples Rep of China

Introduction:

This special session aims to bring together researchers to present their recent results in partial differential equations arising in fluid dynamics. In particular it focuses on existence and uniqueness, long-time behaviors, stability and instability, free boundary problems, etc for Navier-Stokes equations (single-phase flow), two-phase model and related physical models. Some challenging open problems in these interesting fields are expected to emphasize in this section.

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Guangyi HONG	South China University of Technology	Optimal decay rates of compressible Navier-Stokes equations and the related model
Jinrui Huang	Wuyi University	Some recent progress on mathematical analysis of nematic liquid crystals
Haiyang Jin	South China University of Technology	Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations
Li Li	Ningbo University	Existence of solutions to Dirichlet boundary value problems of the relativistic Boltzmann equation
Qingqing Liu	South China University of Technology	Stability of hyperbolic wave for the viscous vasculogenesis model
Shuangqian Liu	Central China Normal University	Recent progress on the 3D kinetic shear flow via the Boltzmann equation in the diffusive limit
Sili Liu	Changsha University of Science and Technology	The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates
Hongyun Peng	Guangdong University of Technology	On a hyperbolic-parabolic chemotaxis system
Huanyao Wen	South China University of Technology	Some recent progress on blowup criteria for compressible Navier-Stokes equations
Huancheng Yao	South China Agricultural University	Nonlinear stability of viscous contact wave for the isentropic MHD equations with free boundary
Lei Yao	Northwestern Polytechnical University	Initial boundary value problem for 3D non--conservative compressible two--fluid model
Xinhua Zhao	Guangdong Polytechnic Normal University	Vanishing shear viscosity limit for the compressible planar MHD system with boundary layer
Ruizhao Zi	Central China Normal University	Stability threshold of Couette flow for the 3D MHD equations