Singular limits for the compressible Euler equation in an exterior domain.

Hiroshi Isozaki

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Low Mach number limit of a compressible Euler-Korteweg model

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This article deals with the low Mach number limit of the compressible Euler-Korteweg equations. It is justified rigorously that solutions of the compressible Euler-Korteweg equations converge to those of the incompressible Euler equations as the Mach number tends to zero. Furthermore, the desired convergence rates are also obtained.