LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS

doi:10.1016/S0252-9602(12)60010-1

摘要/Abstract

摘要：

This paper is concerned with the low Mach number limit for the compressible Navier-Stokes equations in an exterior domain. We present here an approach based on Strichartz estimate defined on a non trapping exterior domain and we will be able to show the compactness and strong convergence of the velocity vector field.

关键词: exterior domain, compressible and incompressible Navier-Stokes equation, low Mach number limit, hyperbolic equations, wave equations, rescaling, dispersive estimates, Strichartz estimates

Abstract:

Key words: exterior domain, compressible and incompressible Navier-Stokes equation, low Mach number limit, hyperbolic equations, wave equations, rescaling, dispersive estimates, Strichartz estimates

中图分类号:

35L65

Donatella Donatelli, Pierangelo Marcati. LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS[J]. 数学物理学报(英文版), 2012, 32(1): 164-176.

Donatella Donatelli, Pierangelo Marcati. LOW MACH NUMBER LIMIT ON EXTERIOR DOMAINS[J]. Acta mathematica scientia,Series B, 2012, 32(1): 164-176.

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