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math.AP2026
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.AP2025
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…
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…