On a relaxation approximation of the incompressible Navier-Stokes equations

Abstract
We consider an hyperbolic singular perturbation of the incompressible Navier Stokes equations in two space dimensions. The approximating system under consideration, arises as a diffusive rescaled version of a standard relaxation approximation for the incompressible Euler equations. The aim of this work is to give a rigorous justification of its asymptotic limit toward the Navier Stokes equations using the modulated energy method.
Anno
2004
Autori IAC
Tipo pubblicazione
Altri Autori
Brenier Y., Natalini R., Puel M.
Editore
American Mathematical Society.
Rivista
Proceedings of the American Mathematical Society