The incompressible limit and the initial layer of the compressible Euler equation in ℝn+

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Abstract

We consider the incompressible limit of the compressible Euler equation in the half-space ℝn+. It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial data v∞0 do not satisfy the condition '∇·v∞0 = 0', then the initial layer will appear.

Original languageEnglish
Pages (from-to)945-958
Number of pages14
JournalMathematical Methods in the Applied Sciences
Volume20
Issue number11
DOIs
Publication statusPublished - 1997 Jul 25
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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