Free boundary problem for the equation of spherically symmetric motion of viscous gas (III)
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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.
Key wordsNavier-Stokes equation asymptotic stability of equilibria free boundary problem spherically symmetric motion
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