Stability of rarefaction wave for relaxed compressible Navier-Stokes equations with density-dependent viscosity
Year: 2025
Type: article
Abstract: This article shows time-asymptotic nonlinear stability of rarefaction wave to the Cauchy problem for the one-dimensional relaxed compressible Navier-Stokes equations with density-dependent viscosity. We prove that the solution to this typical system tends time-asymptotically to the rarefaction wave. For this, we technically construct the correction function S ˆ ( x , t ) \hat{S}\left(x,t) , which means that S ± {S}_{\pm } can be non-zero. The proof is accomplished by virtue of energy estimates.
Source: Advances in Nonlinear Analysis
Author: Nangao Zhang
Institution: Wuhan Textile University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,469
OpenAlex ID: W4413160161