Global solutions to hyperbolic Navier-Stokes equations

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2010
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Konstanzer Schriften in Mathematik; 268
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We consider a hyperbolicly perturbed Navier-Stokes initial value problem in ℝn, n=2,3, arising from using a Cattaneo type relation instead of a Fourier type one in the constitutive equations. The resulting system is a hyperbolic one with quasilinear nonlinearities. The global existence of smooth solutions for small data is proved, and relations to the classical Navier-Stokes systems are discussed.
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ISO 690RACKE, Reinhard, Jürgen SAAL, 2010. Global solutions to hyperbolic Navier-Stokes equations
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@techreport{Racke2010Globa-515,
  year={2010},
  series={Konstanzer Schriften in Mathematik},
  title={Global solutions to hyperbolic Navier-Stokes equations},
  number={268},
  author={Racke, Reinhard and Saal, Jürgen}
}
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