3 papers
math.AP2022
Asymptotic stability of rarefaction waves for compressible Navier-Stokes equations with relaxation
Yuxi Hu, Xuefang Wang
The asymptotic stability of rarefaction wave for 1-d relaxed compressible isentropic Navier-Stokes equations is established. For initial data with different far-field values, we sh…
math.AP2022
Global existence versus blow-up for multi-d hyperbolized compressible Navier-Stokes equations
Yuxi Hu, Reinhard Racke
We consider the non-isentropic compressible Navier-Stokes equations in two or three space dimensions for which the heat conduction of Fourier's law is replaced by Cattaneo's law an…
math.AP2020
Low Mach number limit of full compressible Navier-Stokes equations with revised Maxwell law
Zhao Wang, Yuxi Hu
In this paper, we study the low Mach number limit of the full compressible Navier-Stokes equations with revised Maxwell law. By applying the uniform estimation of the error system,…