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On the incompressible limit of the compressible Euler equation

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Abstract

The solution of the initial value problem for the compressible Euler equation tends to the solution of the corresponding incompressible Euler equation with the corresponding initial data, as the Mach number (which is proportional to a parameter 1/λ) tends to zero. Under suitable conditions, we also obtain the asymptotic expansion theorem for those solution, when λ is large.

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Authors and Affiliations

  1. Institute of Mathematics, Yoshida College, Kyoto University, 606, Kyoto, Japan

    Kiyoshi Asano

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  1. Kiyoshi Asano
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Asano, K. On the incompressible limit of the compressible Euler equation. Japan J. Appl. Math. 4, 455–488 (1987). https://doi.org/10.1007/BF03167815

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  • DOI: https://doi.org/10.1007/BF03167815

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