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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |