Incompressible limit of the nonisentropic euler equations with the solid wall boundary conditions

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Abstract

We study the zero Mach number limit of classical solutions to the compressible Euler equations for nonisentropic fluids in a domain ω ⊂ ℝd (d = 2 or 3). We consider the case of general initial data. For a domain ω, bounded or unbounded, we first prove the existence of classical solutions for a time independent of the small parameter. Then, in the exterior case, we prove that the solutions converge to the solution of the incompressible Euler equations.

Original languageEnglish
Pages (from-to)19-44
Number of pages26
JournalAdvances in Differential Equations
Volume10
Issue number1
DOIs
Publication statusPublished - 1 Jan 2005
Externally publishedYes

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