2 citations · 3 across the 11 of their papers we have counts for
12 papers
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…
Stability of degree-2 Rossby-Haurwitz waves
Daomin Cao, Guodong Wang, Bijun Zuo
Rossby-Haurwitz (RH) waves are important explicit solutions of the incompressible Euler equation on a two-dimensional rotating sphere. In this paper, we prove the orbital stability…
Stable plane Euler flows with concentrated and sign-changing vorticity
Guodong Wang, Bijun Zuo
We construct a family of steady solutions to the two-dimensional incompressible Euler equation in a general bounded domain, such that the vorticity is supported in two well-separat…
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…
An extension of Arnold's second stability theorem in a multiply-connected domain
Guodong Wang, Bijun Zuo
We give a sufficient condition for the nonlinear stability of steady flows of a two-dimensional ideal fluid in a bounded multiply-connected domain, which generalizes a stability cr…
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…
Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain
Guodong Wang, Bijun Zuo
In this paper, we study steady vortex patch solutions to the incompressible Euler equations in a planar bounded domain . Let be the solution of the elliptic problem $-Δψ_{…
Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in bounded domain
Yi Wang, Bijun Zuo
In this paper, we prove the energy and cross-helicity conservation of weak solutions to the three-dimensional ideal MHD equations in bounded domain under the interior Besov regular…
Existence of steady symmetric vortex patch in a disk
Daomin Cao, Guodong Wang, Bijun Zuo
In this paper we construct a family of steady symmetric vortex patches for the incompressible Euler equations in an open disk. The result is obtained by studying a variational prob…