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

Alexander Zlotnik | Zendy; Mikhail Maksimov | Zendy

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

Author(s) -

Alexander Zlotnik,

Mikhail Maksimov

Publication year - 2006

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/aaa/2006/69347

Subject(s) - mathematics , uniqueness , isothermal process , equipotential , boundary (topology) , mathematical analysis , countable set , body force , stability (learning theory) , boundary value problem , classical mechanics , thermodynamics , pure mathematics , physics , quantum mechanics , machine learning , computer science

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

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