Magnetohydrodynamic turbulent flows: existence results (Q979099)
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scientific article; zbMATH DE number 5726632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Magnetohydrodynamic turbulent flows: existence results |
scientific article; zbMATH DE number 5726632 |
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Magnetohydrodynamic turbulent flows: existence results (English)
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25 June 2010
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The stochastic magnetohydrodynamics is studied. This branch of the theory is known to describe the turbulent motion of the fluid particles in a magnetic field. Especially the existence of solutions to the equations are investigated in detail. A sufficiently general forcing is considered which consist a regular part and a stochastic part and both depend nonlinearly on the velocity of the fluid and the magnetic field. It is not required that the functions of the forcing satisfy the Lipschitz condition. Mainly, the suitably defined weak solutions are studied.
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magnetohydrodynamic
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turbulent flows
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probabilistic weak solutions
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Galerkin scheme
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Prokhorov and Skorokhod's compactness results
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