A local approach to the incompressible limit. (Une approche locale de la limite incompressible.) (French. Abridged English version) Zbl 0937.35132

Lions, Pierre-Louis; Masmoudi, Nader

C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 5, 387-392 (1999).

Summary: We prove a local weak convergence result for solutions of compressible Navier-Stokes equations, as the Mach number goes to 0, to a Leray solution of incompressible Navier-Stokes equations.

MSC:

35Q30	Navier-Stokes equations
76N15	Gas dynamics (general theory)
76D05	Navier-Stokes equations for incompressible viscous fluids

Keywords:

compressible Navier-Stokes equations; Leray solution; incompressible Navier-Stokes equations