Blow-up for hyperbolized compressible Navier-Stokes equations

This work reports on initial value problems to hyperbolized compressible Navier-Stokes equations. Local existence and global existence for small data are addressed as well as singular limits for vanishing relaxation parameters. Then blow-up results for one- and multi-dimensional models are presented using ideas from T.C. Sideris from the 1980s.

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Publication Details

Journal
Communications in Analysis and Mechanics
Published
2025-01-01
DOI
https://doi.org/10.3934/cam.2025022
Primary Topic
Navier-Stokes equation solutions
Type
article
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article

Blow-up for hyperbolized compressible Navier-Stokes equations

Reinhard Racke
Communications in Analysis and Mechanics
Navier-Stokes equation solutions
article

Blow-up for hyperbolized compressible Navier-Stokes equations

Reinhard Racke
article en

Abstract

This work reports on initial value problems to hyperbolized compressible Navier-Stokes equations. Local existence and global existence for small data are addressed as well as singular limits for vanishing relaxation parameters. Then blow-up results for one- and multi-dimensional models are presented using ideas from T.C. Sideris from the 1980s.

Communications in Analysis and MechanicsVol. 17(2)
University of Konstanz (DE)
Openalex Percentile: Top 84%
Navier-Stokes equation solutions
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Blow-up for hyperbolized compressible Navier-Stokes equations — Reinhard Racke · Communications in Analysis and Mechanics (2025) | TGRS Research Map | TGRS