Steady vortex flows obtained from a constrained variational problem
We prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subjec...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202008098 |
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| _version_ | 1832553334242803712 |
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| author | B. Emamizadeh M. H. Mehrabi |
| author_facet | B. Emamizadeh M. H. Mehrabi |
| author_sort | B. Emamizadeh |
| collection | DOAJ |
| description | We prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint. |
| format | Article |
| id | doaj-art-6adabb85523c4c4fb9ec409b2abc9a76 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6adabb85523c4c4fb9ec409b2abc9a762025-02-03T05:54:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130528330010.1155/S0161171202008098Steady vortex flows obtained from a constrained variational problemB. Emamizadeh0M. H. Mehrabi1Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, IranDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, IranWe prove the existence of steady two-dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint.http://dx.doi.org/10.1155/S0161171202008098 |
| spellingShingle | B. Emamizadeh M. H. Mehrabi Steady vortex flows obtained from a constrained variational problem International Journal of Mathematics and Mathematical Sciences |
| title | Steady vortex flows obtained from a constrained variational problem |
| title_full | Steady vortex flows obtained from a constrained variational problem |
| title_fullStr | Steady vortex flows obtained from a constrained variational problem |
| title_full_unstemmed | Steady vortex flows obtained from a constrained variational problem |
| title_short | Steady vortex flows obtained from a constrained variational problem |
| title_sort | steady vortex flows obtained from a constrained variational problem |
| url | http://dx.doi.org/10.1155/S0161171202008098 |
| work_keys_str_mv | AT bemamizadeh steadyvortexflowsobtainedfromaconstrainedvariationalproblem AT mhmehrabi steadyvortexflowsobtainedfromaconstrainedvariationalproblem |