47 citations · 134 across the 19 of their papers we have counts for
20 papers
Relative Entropy and the Inviscid Limit for Planar Shocks of the Multi-D Burgers' Equation
Geng Chen, Jeffrey Cheng, Alexis F. Vasseur +1
In recent work (arXiv:2610.10341), the authors introduced a framework for studying the vanishing viscosity limit for sequences of weak solutions of the multi-dimensional compressib…
Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations
Lin-An Li, Dehua Wang, Yi Wang
We investigate the vanishing viscosity limit for the one-dimensional compressible Navier-Stokes equations in the regime of two interacting shock waves from the same characteristic…
Time-asymptotic stability of generic Riemann solutions for compressible Navier-Stokes-Fourier equations
Moon-Jin Kang, Alexis Vasseur, Yi Wang
We establish the time-asymptotic stability of solutions to the one-dimensional compressible Navier-Stokes-Fourier equations, with initial data perturbed from Riemann data that form…
Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations
Moon-Jin Kang, Alexis F. Vasseur, Yi Wang
We prove the time-asymptotic stability of composite waves consisting of the superposition of a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navie…
Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations
Lin-An Li, Dehua Wang, Yi Wang
We study the vanishing dissipation limit of the three-dimensional (3D) compressible Navier-Stokes-Fourier equations to the corresponding 3D full Euler equations. Our results are tw…
Uniqueness of a planar contact discontinuity for 3D compressible Euler system in a class of zero dissipation limits from Navier-Stokes-Fourier system
Moon-Jin Kang, Alexis Vasseur, Yi Wang
We prove the stability of contact discontinuities without shear, a family of special discontinuous solutions for the three-dimensional full Euler systems, in the class of vanishing…