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Asymptotic stability of the spherically symmetric solutions for an isentropic model of compressible viscous gas

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Abstract

We study the asymptotic behavior of the spherically symmetric solutions for an isentropic model of compressible viscous gas in a bounded annulus domain. For any external force generated by some scalar steady potential, and for any initial data, the solution is proved to exponentially tend towards the corresponding stationary solution as time tends to infinity, provided that the adiabatic constant is suitably close to 1.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Faculty of Science, Ehime University, 790-77, Matsuyama, Japan

    Shigenori Yanagi

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  1. Shigenori Yanagi
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Correspondence to Shigenori Yanagi.

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Yanagi, S. Asymptotic stability of the spherically symmetric solutions for an isentropic model of compressible viscous gas. Japan J. Indust. Appl. Math. 14, 215–243 (1997). https://doi.org/10.1007/BF03167265

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  • DOI: https://doi.org/10.1007/BF03167265

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