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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
W.-C. Kuan and S.-S. Lin, Numbers of equilibria of self-gravitating isentropic gas surrounding a solid ball, preprint.
M. Okada and T. Makino, Free boundary problem for the equation of spherically symmetric motion of viscous gas. Japan J. Indust. Appl. Math.,10 (1993), 219–235.
Š. Matušů-Nečasová, M. Okada and T. Makino, Free boundary problem for the equation of spherically symmetric motion of viscous gas (II). Japan J. Indust. Appl. Math.,12 (1995), 195–203.
I. Straškraba, Asymptotic development of vacuums for 1-D Navier-Stokes equations of compressible flow. Preprint (Matematicky ustav,90 (1994), Akademie red ceske republiky).
Author information
Authors and Affiliations
Additional information
The first author was supported by Grant of Czech Academy no 201.93.2177.
About this article
Cite this article
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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03167264