Blow-up for hyperbolized compressible Navier-Stokes equations

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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.

Keywords

compressible Navier-Stokes equations / relaxation / hyperbolic systems / singular limits / blow-up

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