On symmetric equilibrium of an isothermal gas with a free boundary and a body force

Alexander Zlotnik and Mikhail Maksimov

Abstract and Applied Analysis, 2006, vol. 2006, 1-12

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:069347

DOI: 10.1155/AAA/2006/69347

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