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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- W.-C. Kuan and S.-S. Lin, Numbers of equilibria of self-gravitating isentropic gas surrounding a solid ball, preprint.Google Scholar
- I. Straškraba, Asymptotic development of vacuums for 1-D Navier-Stokes equations of compressible flow. Preprint (Matematicky ustav,90 (1994), Akademie red ceske republiky).Google Scholar