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Nonlinear stability of planar viscous shock wave to three-dimensional compressible Navier-Stokes equations
Teng Wang, Yi Wang
We prove the nonlinear stability of the planar viscous shock up to a time-dependent shift for the three-dimensional (3D) compressible Navier-Stokes equations under the generic pert…
Stability of the Superposition of a Viscous Contact Wave with two Rarefaction Waves to the bipolar Vlasov-Poisson-Boltzmann System
Hailiang Li, Teng Wang, Yi Wang
We investigate the nonlinear stability of the superposition of a viscous contact wave and two rarefaction waves for one-dimensional bipolar Vlasov-Poisson-Boltzmann (VPB) system, w…
The inviscid limit to a contact discontinuity for the compressible Navier-Stokes-Fourier system using the relative entropy method
Alexis Vasseur, Yi Wang
We consider the zero heat conductivity limit to a contact discontinuity for the mono-dimensional full compressible Navier-Stokes-Fourier system. The method is based on the relative…
Isoperimetric inequality, -curvature and weights
Yi Wang
A well known question in differential geometry is to control the constant in isoperimetric inequality by intrinsic curvature conditions. In dimension 2, the constant can be control…
Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum
Quansen Jiu, Yi Wang, Zhouping Xin
In this paper, we study the global well-posedness of the 2D compressible Navier-Stokes equations with large initial data and vacuum. It is proved that if the shear viscosity is…
The Limit of the Boltzmann Equation to the Euler Equations for Riemann Problems
Feimin Huang, Yi Wang, Yong Wang +1
The convergence of the Boltzmann equaiton to the compressible Euler equations when the Knudsen number tends to zero has been a long standing open problem in the kinetic theory. In…