Band einer Schriftenreihe
Pierre-Étienne Druet Titel:
On Existence and Regularity of Solutions for a Stationary Navier-Stokes System Coupled to an Equation for the Turbulent Kinetic Energy Erscheinungsjahr:
2007 Erschienen in:
Preprints aus dem Institut für Mathematik 13	(Mathematik-Preprints)
Volltext:
Mathematik Schlagwörter (eng):
Coupled Navier-Stokes system, turbulent kinetic energy, bounded eddy viscosity, k-epsilon modelling Diese Seite taggen:
Abstract (eng):
We investigate a stationary model for turbulent flows, in which the Navier-Stokes system is coupled to an equation for the density of turbulent kinetic energy through a bounded coefficient of eddy viscosity. We prove the existence of weak solutions for which the gradients are higher integrable. The latter property allows us to prove that the model is well posed in the two dimensional case, provided that the external forcing remains sufficiently small.
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