Browsing Preprints aus dem Institut für Mathematik by Author "Druet, Pierre-Étienne"

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2011-08-11Buch

A Meyers' type estimate for weak solutions to a generalized stationary Navier-Stokes system

Druet, Pierre-Étienne; Naumann, Joachim; Wolf, Jörg

In this paper, we prove a Meyers' type estimate for weak solutions to a Stokes system with bounded measurable coefficients in place of the usual constant viscosity. Besides the perturbation argument due to Meyers, we make ...
2011-08-11Buch

On Existence and Regularity of Solutions for a Stationary Navier-Stokes System Coupled to an Equation for the Turbulent Kinetic Energy

Druet, Pierre-Étienne

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 ...