Abstract and Applied Analysis
Volume 2006 (2006), Article ID 69347, 12 pages
doi:10.1155/AAA/2006/69347
On symmetric equilibrium of an isothermal gas with a free boundary and a body force
Alexander Zlotnik
and Mikhail Maksimov
Department of Mathematical Modelling, Moscow Power Engineering Institute, Krasnokazarmennaja 14, Moscow 111250, Russia
Abstract
The equation of symmetric equilibrium of an isothermal gas with an unknown boundary in the field of a body force is considered. Conditions for solvability and insolvability of the problem as well as for uniqueness and nonuniqueness of solutions are presented. Examples of finite, countable, or continual sets of solutions are constructed including equipotential ones. Static stability of solutions is analyzed too.