Navier–Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain

  • Vincent Girinon

    Institut de Mathématiques, UMR CNRS 5219, Université Paul Sabatier, 31062 Toulouse Cedex 9, France

Abstract

We prove the existence of a weak solution to Navier–Stokes equations describing the isentropic flow of a gas in a convex and bounded region, , with nonhomogeneous Dirichlet boundary conditions on . These results are also extended to flow domain surrounding an obstacle.

Cite this article

Vincent Girinon, Navier–Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 5, pp. 2025–2053

DOI 10.1016/J.ANIHPC.2008.12.007