Abstract
We study the spherically symmetric motion of viscous barotropic gas surrounding a ball. The basic equation is the compressible Navier-Stokes equation. We are interested in the density distribution which contacts with vacuum at a finite radius. This is a free boundary problem. After rewriting the equation in the Lagrangean coordinate, we construct approximate solutions by discretizing the mass variable. Passing to a limit, we find a global weak solution.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Okada, Free boundary value problems for the equation of one-dimensional motion of viscous gas. Japan J. Appl. Math.,6 (1989), 161–177.
H. Fujita-Yashima et R. Benabidallah, Equation à symétrie sphérique d'un gaz visqueux et calorifère avec la surface libre. Preprint 2.88 (616), Dip. Mat. Pisa, Gennaio, 1992.
Author information
Authors and Affiliations
About this article
Cite this article
Okada, M., Makino, T. Free boundary problem for the equation of spherically symmetric motion of viscous gas. Japan J. Indust. Appl. Math. 10, 219 (1993). https://doi.org/10.1007/BF03167573
Received:
DOI: https://doi.org/10.1007/BF03167573