• Media type: Text; E-Book; Report
  • Title: A quasilinear delayed hyperbolic Navier-Stokes System : Global solution, asymptotics and relaxation limit ; Ein quasilineares hyperbolisches Navier-Stokes System mit Delay : Globale Lösung, Asymptotik und Relaxations Grenzwert
  • Contributor: Schöwe, Alexander [Author]
  • imprint: KOPS - The Institutional Repository of the University of Konstanz, 2012
  • Language: English
  • Keywords: Navier-Stokes-Gleichung ; Asymptotik ; Differentialgleichung mit nacheilendem Argument ; Quasilineare hyperbolische Differentialgleichung
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  • Description: We consider a hyperbolic quasilinear fluid model, that arises from a delayed version for the constitutive law for the deformation tensor in the incompressible Navier-Stokes equation. We prove global existence of small solutions and asymptotic results in $\R^{3}$ and the half-space with slip boundary conditions. Futhermore we show that this relaxed system is close to the classical Navier-Stokes equation in the sense that for small times $t$ the solutions converge in high Sobolev norms to the solution of the incompressible Navier-Stokes equation. ; published
  • Access State: Open Access
  • Rights information: In Copyright