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Initial boundary value problem for the spherically symmetric motion of isentropic gas

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Abstract

We study the spherically symmetric motion of an ideal gas surrounding a solid ball. This is governed by the compressible Euler equation of isentropic gas dynamics. The associated initial boundary value problem is solved by using the compensated compactness method for initial data containing the vacuum. The constructed weak solutions are temporally local but the class of initial data includes the stationary solutions.

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Authors and Affiliations

  1. Department of Liberal Arts, Osaka Sangyo University, 3-1-1, Nakagaito, Daito, 574, Osaka, Japan

    Tetu Makino

  2. Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, Ninocho-8050, Ikarashi, 950-21, Niigata City, Japan

    Shigeharu Takeno

Authors
  1. Tetu Makino
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  2. Shigeharu Takeno
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Makino, T., Takeno, S. Initial boundary value problem for the spherically symmetric motion of isentropic gas. Japan J. Indust. Appl. Math. 11, 171–183 (1994). https://doi.org/10.1007/BF03167220

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  • DOI: https://doi.org/10.1007/BF03167220

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