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math.AP2024
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…
math.AP2024
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…
math.AP2024
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…