Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition
We study initial-boundary value problem for an equation of composite type in 3-D multiply connected domain. This equation governs nonsteady inertial waves in rotating fluids. The solution of the problem is obtained in the form of dynamic potentials, which density obeys the uniquely solvable integral...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004860 |
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doaj-1c41eaa2066147bdb3ff51221d5918762020-11-25T01:07:31ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125958760210.1155/S0161171201004860Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary conditionPavel A. Krutitskii0Department of Mathematics, Faculty of Physics, Moscow State University, Moscow 117234, RussiaWe study initial-boundary value problem for an equation of composite type in 3-D multiply connected domain. This equation governs nonsteady inertial waves in rotating fluids. The solution of the problem is obtained in the form of dynamic potentials, which density obeys the uniquely solvable integral equation. Thereby the existence theorem is proved. Besides, the uniqueness of the solution is studied. All results hold for interior domains and for exterior domains with appropriate conditions at infinity.http://dx.doi.org/10.1155/S0161171201004860 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Pavel A. Krutitskii |
| spellingShingle |
Pavel A. Krutitskii Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Pavel A. Krutitskii |
| author_sort |
Pavel A. Krutitskii |
| title |
Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition |
| title_short |
Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition |
| title_full |
Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition |
| title_fullStr |
Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition |
| title_full_unstemmed |
Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition |
| title_sort |
evolutionary equation of inertial waves in 3-d multiply connected domain with dirichlet boundary condition |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| description |
We study initial-boundary value problem for an equation of
composite type in 3-D multiply connected domain. This equation
governs nonsteady inertial waves in rotating fluids. The solution
of the problem is obtained in the form of dynamic potentials, which
density obeys the uniquely solvable integral equation. Thereby the
existence theorem is proved. Besides, the uniqueness of the
solution is studied. All results hold for interior domains and for
exterior domains with appropriate conditions at infinity. |
| url |
http://dx.doi.org/10.1155/S0161171201004860 |
| work_keys_str_mv |
AT pavelakrutitskii evolutionaryequationofinertialwavesin3dmultiplyconnecteddomainwithdirichletboundarycondition |
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1725186885062492160 |