Abstract and Applied Analysis
Volume 2006 (2006), Article ID 16071, 8 pages

On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary

Alexander Zlotnik

Department of Mathematical Modelling, Moscow Power Engineering Institute, Krasnokazarmennaya 14, Moscow 111250, Russia

Received 6 June 2005; Accepted 10 July 2005

Copyright © 2006 Alexander Zlotnik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The system of quasilinear equations for symmetric flows of a viscous heat-conducting gas with a free external boundary is considered. For global in time weak solutions having nonstrictly positive density, the linear in time two-sided bounds for the gas volume growth are established.