On symmetric equilibrium of an isothermal gas with a free boundary and a body forceReportar como inadecuado




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Abstract and Applied Analysis - Volume 2006 2006, Article ID 69347, 12 pages

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

Received 16 December 2004; Accepted 20 February 2005

Copyright © 2006 Alexander Zlotnik and Mikhail Maksimov. 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.

Abstract

The equation of symmetric equilibrium of an isothermal gas with anunknown boundary in the field of a body force is considered.Conditions for solvability and insolvability of the problem aswell as for uniqueness and nonuniqueness of solutions arepresented. Examples of finite, countable, or continual sets ofsolutions are constructed including equipotential ones. Staticstability of solutions is analyzed too.





Autor: Alexander Zlotnik and Mikhail Maksimov

Fuente: https://www.hindawi.com/



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