Abstract
We study the spherically symmetric motion of viscous barotropic gas surrounding a solid ball. We are interested in the density distribution which contacts with the vacuum at a finite radius. This is a free boundary problem. We obtained the existence of a global weak solution with some regular properties. We can show that such a solution is unique.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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.
H. Fujita-Yashima et R. Benabidallah, Unicité de la solution de l’équation mono-dimensionnelle ou à symétrie sphérique d’un gaz visqueux et calorifère. Rend. Circ. Mat. Palermo, (2),42 (1993), 195–218.
Š. Matušů-Nečasová, Some results of the uniqueness of compressible motions (in preparation).
Author information
Authors and Affiliations
Additional information
This work was completed during her stay at Università degli studi di Ferrara which was supported by GNFM of Italian CNR.
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 (II). Japan J. Indust. Appl. Math. 12, 195–203 (1995). https://doi.org/10.1007/BF03167288
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03167288