6 papers
On the absence of point defects in biaxial Landau--de Gennes models
Haotong Fu, Huaijie Wang, Wei Wang +1
We study local minimizers of a sextic-potential Landau--de Gennes energy for nematic liquid crystals in the small-elastic-constant limit. Under the uniform energy and bo…
Existence of weak solutions for two-phase matrix-valued harmonic map flows
Wei Wang, Zhifei Zhang
We study the existence of weak solutions to a two-phase matrix-valued harmonic map flow with lifespan determined by that of the prescribed interface. This system arises as the limi…
Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity
Wei Wang, Zhifei Zhang
In this paper, we study the stationary solutions of semilinear elliptic equation with singular nonlinearity where $ n\…
Quantitative stratification and sharp regularity estimates for supercritical semilinear elliptic equations
Haotong Fu, Wei Wang, Zhifei Zhang
In this paper, we investigate the interior regularity theory for stationary solutions of the supercritical nonlinear elliptic equation $$ -Δu=|u|^{p-1}u\quad\text{in }Ω,\quad p>\fr…
Landau-de Gennes model with sextic potentials: asymptotic behavior of minimizers
Wei Wang, Zhifei Zhang
We study a class of Landau-de Gennes energy functionals with a sextic bulk energy density in a three-dimensional domain. We examine the asymptotic behavior of uniformly bounded min…
Nonlinear stability of entropy waves for the Euler equations
Wei Wang, Zhifei Zhang, Wenbin Zhao
In this article, we consider a class of the contact discontinuity for the full compressible Euler equations, namely the entropy wave, where the velocity is continuous across the in…