46 citations · 249 across the 11 of their papers we have counts for
11 papers
Nonlinear Stability of MHD Contact Discontinuities with Surface Tension
Yuri Trakhinin, Tao Wang
We consider the motion of two inviscid, compressible, and electrically conducting fluids separated by an interface across which there is no fluid flow in the presence of surface te…
Well-Posedness for the Free-Boundary Ideal Compressible Magnetohydrodynamic Equations with Surface Tension
Yuri Trakhinin, Tao Wang
We establish the local existence and uniqueness of solutions to the free-boundary ideal compressible magnetohydrodynamic equations with surface tension in three spatial dimensions…
Stability of Multidimensional Thermoelastic Contact Discontinuities
Gui-Qiang G. Chen, Paolo Secchi, Tao Wang
We study the system of nonisentropic thermoelasticity describing the motion of thermoelastic nonconductors of heat in two and three spatial dimensions, where the frame-indifferent…
Well-Posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics
Yuri Trakhinin, Tao Wang
We consider the free boundary problem for non-relativistic and relativistic ideal compressible magnetohydrodynamics in two and three spatial dimensions with the total pressure vani…
Two-Dimensional Vortex Sheets for the Nonisentropic Euler Equations: Nonlinear Stability
Alessandro Morando, Paola Trebeschi, Tao Wang
We show the short-time existence and nonlinear stability of vortex sheets for the nonisentropic compressible Euler equations in two spatial dimensions, based on the weakly linear s…
Global Spherical Symmetric Flows for a Viscous Radiative and Reactive Gas in an Exterior Domain with Large Initial Data
Yongkai Liao, Tao Wang, Huijiang Zhao
In this paper, we study the global existence, uniqueness and large-time behavior of spherically symmetric solution of a viscous radiative and reactive gas in an unbounded domain ex…
Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime
Gui-Qiang Chen, Paolo Secchi, Tao Wang
We are concerned with the nonlinear stability of vortex sheets for the relativistic Euler equations in three-dimensional Minkowski spacetime. This is a nonlinear hyperbolic problem…
Symmetric flows for compressible heat-conducting fluids with temperature dependent viscosity coefficients
Ling Wan, Tao Wang
We consider the Navier--Stokes equations for compressible heat-conducting ideal polytropic gases in a bounded annular domain when the viscosity and thermal conductivity coefficient…
Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half space
Ling Wan, Tao Wang, Huijiang Zhao
We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conducting ideal polytropic gas in the one-dimensional half-space.…
One-Dimensional Compressible Heat-Conducting Gas with Temperature-Dependent Viscosity
Tao Wang, Huijiang Zhao
We consider the one-dimensional compressible Navier--Stokes system for a viscous and heat-conducting ideal polytropic gas when the viscosity and the heat conductivity depen…
Inflow Problem for the One-dimensional Compressible Navier-Stokes Equations under Large Initial Perturbation
Lili Fan, Hongxia Liu, Tao Wang +1
This paper is concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, Matsumura and Nishihara showed in [A. Matsumura an…