11 citations · 16 across the 10 of their papers we have counts for
17 papers
Nonlinear stability of sinusoidal Euler flows on a flat two-torus
Guodong Wang, Bijun Zuo
Sinusoidal flows are an important class of explicit stationary solutions of the two-dimensional incompressible Euler equations on a flat torus. For such flows, the steam functions…
Nonlinear stability of planar steady Euler flows associated with semistable solutions of elliptic problems
Guodong Wang
This paper is devoted to the study of nonlinear stability of steady incompressible Euler flows in two dimensions. We prove that a steady Euler flow is nonlinearly stable in n…
Global existence of weak solutions to the compressible Navier-Stokes equations with temperature-depending viscosity coefficients
Guodong Wang, Bijun Zuo
This paper is devoted to the global existence of weak solutions to the three-dimensional compressible Navier-Stokes equations with heat-conducting effects in a bounded domain. The…
Location of concentrated vortices in planar steady Euler flows
Guodong Wang, Bijun Zuo
In this paper, we study two-dimensional steady incompressible Euler flows in which the vorticity is sharply concentrated in a finite number of regions of small diameter in a bounde…
Singularity for a multidimensional variational wave equation arising from nematic liquid crystals
Yanbo Hu, Guodong Wang
This article is focused on a multidimensional nonlinear variational wave equation which is the Euler-Lagrange equation of a variational principle arising form the theory of nematic…
Steady vortex flows of perturbation type in a planar bounded domain
Daomin Cao, Guodong Wang, Zhan Weicheng
In this paper, we investigate steady Euler flows in a two-dimensional bounded domain. By an adaption of the vorticity method, we prove that for any nonconstant harmonic function $q…