Blow-up of solutions for relaxed compressible Navier-Stokes equations

2023/07/03 by Hu, Yuxi, Racke, Reinhard · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2307.00987

Abstract

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 is improved and further examples are given illustrating possible effects of a relaxation and contrasting the classical compressible Navier-Stokes equations without relaxation where solutions for large data exist globally.

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• Initial boundary value problems for 3-d Navier-Stokes equations with hyperbolic heat conduction
• Blowup of solutions for compressible viscoelastic fluid

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