Abstract
We study the spherically symmetric motion of viscous barotropic gas surrounding a solid ball. We are interested in the density distribution which contacts the vacuum at a finite radius. The equilibrium is asymptotically stable with respect to small perturbation, provided that γ > 4/3 anda is sufficiently small, when the equation of state isp =aρ γ,p being the pressure and π the density.
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References
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The first author was supported by Grant of Czech Academy no 201.93.2177.
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Matušů-Nečasová, Š., Okada, M. & Makino, T. Free boundary problem for the equation of spherically symmetric motion of viscous gas (III). Japan J. Indust. Appl. Math. 14, 199–213 (1997). https://doi.org/10.1007/BF03167264
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DOI: https://doi.org/10.1007/BF03167264