Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (1): 53-63.

• Articles • Previous Articles     Next Articles

The Zero-Mach Limit of the Compressible Convection

 YUAN Hong-Jun1, WANG Shu2   

  1. 1.Institute of Mathematics, Jilin University, Changchun 130012|2.Department of Applied Mathematics, School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024
  • Received:2008-10-21 Revised:2009-11-11 Online:2011-02-25 Published:2011-02-25
  • Supported by:

    国家自然科学基金(10571072)和国家重点基础研究发展计划(973)项目基金(2006CB805902)资助

Abstract:

The aim of this paper is to prove that the full compressible Navier-Stokes equations in two or three space dimensions converge to the full incompressible Navier-Stokes equations in the limit as the Mach number tends to zero.

Key words: Zero-Mach limit, Compressible, Incompressible, Full Navier-Stokes equations

CLC Number: 

  • 35Q30
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