11 papers
Asymptotic stability of planar viscous shock wave to three-dimensional relaxed compressible Navier-Stokes equations
Renyong Guan, Yuxi Hu
This paper establishes the nonlinear time-asymptotic stability of shifted planar viscous shock waves for the three-dimensional relaxed compressible Navier-Stokes equations, in whic…
Blowup of solutions for compressible viscoelastic fluid
Sébastien Boyaval, Na Wang, Yuxi Hu
We prove finite-time blowup of classical solutions for the compressible Upper Convective Maxwell (UCM) viscoelastic fluid system. By establishing a key energy identity and adapting…
Global Spherically Symmetric Solutions and Relaxation Limit for the Relaxed Compressible Navier-Stokes Equations
Yuxi Hu, Mengran Yuan
This paper studies an initial boundary value problem for the multidimensional hyperbolized compressible Navier-Stokes equations, in which the classical Newtonian law is replaced by…
Global well-posedness and relaxation limit for relaxed compressible Navier-Stokes-Fourier equations in bounded domain
Yuxi Hu, Xiaoning Zhao
This paper investigates an initial boundary value problem for the relaxed one-dimensional compressible Navier-Stokes-Fourier equations. By transforming the system into Lagrangian c…
Asymptotic stability of composite waves of two viscous shocks for relaxed compressible Navier-Stokes equations
Renyong Guan, Yuxi Hu
This paper investigates the time asymptotic stability of composite waves formed by two shock waves within the context of one-dimensional relaxed compressible Navier-Stokes equation…
Global solutions and uniform convergence stability for compressible Navier-Stokes equations with oldroyd-type constitutive law
Na Wang, Sébastien Boyaval, Yuxi Hu
We consider one dimensional isentropic compressible Navier-Stokes equations with Oldroyd-type constitutive law. By establishing uniform a priori estimates (with respect to relaxati…
Asymptotic stability of composite waves of viscous shock and rarefaction for relaxed compressible Navier-Stokes equations
Renyong guan, Yuxi Hu
The time asymptotic stability for one-dimensional relaxed compressible Navier-Stokes equations is studied. We show that the composite waves of viscous shock and rarefaction are asy…
Blow-up of solutions for relaxed compressible Navier-Stokes equations
Yuxi Hu, Reinhard Racke
We present a blow-up result for large data for relaxed compressible Navier-Stokes models avoiding the possibility of reaching the boundary of hyperbolicity. Thus a previous result…
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…
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…
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,…