9 papers · 1 filter
On the positive constant in Arnold's second stability theorem for a bounded domain
Fatao Wang, Guodong Wang, Bijun Zuo
For a steady flow of a two-dimensional ideal fluid, the gradient vectors of the stream function and its vorticity are collinear. Arnold's second stability theorem states th…
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…
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…
Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient
Cheng Yu, Bijun Zuo
In this paper, the initial-boundary value problem to the three-dimensional inhomogeneous, incompressible and heat-conducting Navier-Stokes equations with temperature-depending visc…
On radial symmetry of rotating vortex patches in the disc
Guodong Wang, Bijun Zuo
In this note, we consider the radial symmetry property of rotating vortex patches for the 2D incompressible Euler equations in the unit disc. By choosing a suitable vector field to…