11 citations · 18 across the 7 of their papers we have counts for
7 papers
Stability of Large-Amplitude Viscous Shock Under Periodic Perturbation for 1-d Viscoelasticity with Non-Convex Constitutive Relations
Yu Mei, Peng Yuan
This paper investigates the large-time behavior of the viscous shock profile for the one-dimensional system of viscoelasticity, subject to initial perturbations that approach space…
Asymptotic stability of shock profiles and rarefaction waves to the Navier-Stokes-Poisson system under space-periodic perturbations
Yeping Li, Yu Mei, Yuan Yuan
This paper concerns with the large-time behaviors of the viscous shock profile and rarefaction wave under initial perturbations which tend to space-periodic functions at infinities…
Existence and convergence of the Beris-Edwards system with general Landau-de Gennes energy
Zhewen Feng, Min-Chun Hong, Yu Mei
In this paper, we investigate the Beris-Edwards system for both biaxial and uniaxial -tensors with a general Landau-de Gennes energy density depending on four non-zero elastic c…
Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system
Zhewen Feng, Min-Chun Hong, Yu Mei
We establish the local well-posedness of the general Ericksen-Leslie system in liquid crystals with the initial velocity and director field in . In particular, we…
Well-posedness of the Ericksen-Leslie System for the Oseen-Frank Model in L^3_{uloc}(\mathbb{R}^3)
Min-Chun Hong, Yu Mei
We investigate the Ericksen-Leslie system for the Oseen-Frank model with unequal Frank elastic constants in . To generalize the result of Hineman-Wang \cite{HW}, we p…
Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension
Yu Mei, Yong Wang, Zhouping Xin
In this paper, we investigate the uniform regularity of solutions to the 3-dimensional isentropic compressible Navier-Stokes system with free surfaces and study the corresponding a…
Global Classical Solutions to the 2D Compressible MHD Equations with Large Data and Vacuum
Yu Mei
In this paper, we study the global well-posedness of classical solutions to the 2D compressible MHD equations with large initial data and vacuum. With the assumption and…