51 citations · 159 across the 5 of their papers we have counts for
7 papers
Vanishing Viscosity Limit for Incompressible Viscoelasticity in Two Dimensions
Yuan Cai, Zhen Lei, Fanghua Lin +1
This paper studies the inviscid limit of the two-dimensional incompressible viscoelasticity, which is a system coupling a Navier-Stokes equation with a transport equation for the d…
On the Cauchy problem for two dimensional incompressible viscoelastic flows
Xianpeng Hu, Fanghua Lin
We study the large-data Cauchy problem for two dimensional Oldroyd model of incompressible viscoelastic fluids. We prove the global-in-time existence of the Leray-Hopf type weak so…
Global Existence for Two Dimensional Compressible Magnetohydrodynamic Flows with Zero Magnetic Diffusivity
Xianpeng Hu
The existence of global-in-time classical solutions to the Cauchy problem of compressible magnetohydrodynamic flows with zero magnetic diffusivity is considered in two dimensions.…
Global Existence for Two Dimensional Incompressible Magnetohydrodynamic Flows with Zero Magnetic Diffusivity
Xianpeng Hu, Fanghua Lin
The existence of global-in-time classical solutions to the Cauchy problem of incompressible Magnetohydrodynamic flows with zero magnetic diffusivity is considered in two dimensions…
Global Small Solutions to a Complex Fluid Model in 3D
Fanghua Lin, Ting Zhang
In this paper, we provide a much simplified proof of the main result in [Lin and Zhang, Comm. Pure Appl. Math.,67(2014), 531--580] concerning the global existence and uniqueness of…
Global solutions of two dimensional incompressible viscoelastic flows with discontinuous initial data
Xianpeng Hu, Fanghua Lin
The global existence of weak solutions of the incompressible viscoelastic flows in two spatial dimensions has been a long standing open problem, and it is studied in this paper. We…