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

Tatsuo Iguchi

Research output: Contribution to journal › Article

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
Publication statusPublished - 1997 Jul 25
Externally publishedYes

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Incompressible Limit
Compressible Euler Equations
Euler equations
Incompressible Euler Equations
Half-space
Tend
Converge
Mach number
Zero

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The incompressible limit and the initial layer of the compressible Euler equation in ℝn+. / Iguchi, Tatsuo.

In: Mathematical Methods in the Applied Sciences, Vol. 20, No. 11, 25.07.1997, p. 945-958.

Research output: Contribution to journal › Article

Iguchi, T 1997, 'The incompressible limit and the initial layer of the compressible Euler equation in ℝn+', Mathematical Methods in the Applied Sciences, vol. 20, no. 11, pp. 945-958.
Iguchi T. The incompressible limit and the initial layer of the compressible Euler equation in ℝn+. Mathematical Methods in the Applied Sciences. 1997 Jul 25;20(11):945-958.
Iguchi, Tatsuo. / The incompressible limit and the initial layer of the compressible Euler equation in ℝn+. In: Mathematical Methods in the Applied Sciences. 1997 ; Vol. 20, No. 11. pp. 945-958.
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