English

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

Analysis of PDEs 2023-07-04 v1

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.

Keywords

Cite

@article{arxiv.2307.00987,
  title  = {Blow-up of solutions for relaxed compressible Navier-Stokes equations},
  author = {Yuxi Hu and Reinhard Racke},
  journal= {arXiv preprint arXiv:2307.00987},
  year   = {2023}
}

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10 pages