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Spherically symmetric solutions to the compressible Euler equation with an asymptotic γ-law

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Abstract

This work investigates the spherically symmetric solutions of compressible Euler equation with an asymptotic γ-law. We generalize the method of [6, 7, 8] to show the existence of weak solution of the equation with initial data containing the vacuum state.

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Authors and Affiliations

  1. Department of Mathematics, National Central University, 320, Chungli, Taiwan

    Cheng-Hsiung Hsu

  2. Faculty of Engineering, Yamaguchi University, 755-8611, Ube, Japan

    Tetu Makino

Authors
  1. Cheng-Hsiung Hsu
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  2. Tetu Makino
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Additional information

Work partially supported by NSC89-2115-M-008-029 and National Center for Theoretical Sciences Mathematics Division, R. O. C.

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Hsu, CH., Makino, T. Spherically symmetric solutions to the compressible Euler equation with an asymptotic γ-law. Japan J. Indust. Appl. Math. 20, 1 (2003). https://doi.org/10.1007/BF03167459

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  • DOI: https://doi.org/10.1007/BF03167459

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