Initial boundary-value problem for a Navier-Stokes system with heat transfer and boundary conditions changing the type on time-dependent manifolds (Q2719461)
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scientific article; zbMATH DE number 1609705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Initial boundary-value problem for a Navier-Stokes system with heat transfer and boundary conditions changing the type on time-dependent manifolds |
scientific article; zbMATH DE number 1609705 |
Statements
25 June 2001
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Navier-Stokes system
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initial boundary-value problem
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heat transfer
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Initial boundary-value problem for a Navier-Stokes system with heat transfer and boundary conditions changing the type on time-dependent manifolds (English)
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The problem under consideration is one of the possible mathematical models of hurricane dynamics over the land surface in view of heat conductivity. Moreover, in the Navier-Stokes system a force is added which is proportional to the temperature gradient. Also the heat conductivity equation contains the term \(\,(v,\nabla\Theta)\), where \(v\) is the field of liquid motion velocities and \(\Theta\) is the temperature. For the given evolution of the hurricane and rest zones interface the stated problem is solved by the modified Galerkin method in the Hopf class.
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