On symmetric equilibrium of an isothermal gas with a free boundary and a body force
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 contin...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/69347 |
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| _version_ | 1849695651659513856 |
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| author | Alexander Zlotnik Mikhail Maksimov |
| author_facet | Alexander Zlotnik Mikhail Maksimov |
| author_sort | Alexander Zlotnik |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d50d69fc11eb45a7a9020ef4d4dcc96e |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d50d69fc11eb45a7a9020ef4d4dcc96e2025-08-20T03:19:42ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/6934769347On symmetric equilibrium of an isothermal gas with a free boundary and a body forceAlexander Zlotnik0Mikhail Maksimov1Department of Mathematical Modelling, Moscow Power Engineering Institute, Krasnokazarmennaja 14, Moscow 111250, RussiaDepartment of Mathematical Modelling, Moscow Power Engineering Institute, Krasnokazarmennaja 14, Moscow 111250, RussiaThe 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.http://dx.doi.org/10.1155/AAA/2006/69347 |
| spellingShingle | Alexander Zlotnik Mikhail Maksimov On symmetric equilibrium of an isothermal gas with a free boundary and a body force Abstract and Applied Analysis |
| title | On symmetric equilibrium of an isothermal gas with a free boundary and a body force |
| title_full | On symmetric equilibrium of an isothermal gas with a free boundary and a body force |
| title_fullStr | On symmetric equilibrium of an isothermal gas with a free boundary and a body force |
| title_full_unstemmed | On symmetric equilibrium of an isothermal gas with a free boundary and a body force |
| title_short | On symmetric equilibrium of an isothermal gas with a free boundary and a body force |
| title_sort | on symmetric equilibrium of an isothermal gas with a free boundary and a body force |
| url | http://dx.doi.org/10.1155/AAA/2006/69347 |
| work_keys_str_mv | AT alexanderzlotnik onsymmetricequilibriumofanisothermalgaswithafreeboundaryandabodyforce AT mikhailmaksimov onsymmetricequilibriumofanisothermalgaswithafreeboundaryandabodyforce |