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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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