Global solutions to hyperbolic Navier-Stokes equations

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RACKE, Reinhard, Jürgen SAAL, 2010. Global solutions to hyperbolic Navier-Stokes equations

@techreport{Racke2010Globa-515, series={Konstanzer Schriften in Mathematik}, title={Global solutions to hyperbolic Navier-Stokes equations}, year={2010}, number={268}, author={Racke, Reinhard and Saal, Jürgen} }

2010 Saal, Jürgen eng Racke, Reinhard 2011-03-22T17:44:52Z Saal, Jürgen Global solutions to hyperbolic Navier-Stokes equations We consider a hyperbolicly perturbed Navier-Stokes initial value problem in &#8477;<sup>n</sup>, 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. Racke, Reinhard application/pdf deposit-license 2011-03-22T17:44:52Z

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