\(L_p\)-theory of free boundary problems of magnetohydrodynamics in multi-connected domains (Q467173)
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scientific article; zbMATH DE number 6363416
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L_p\)-theory of free boundary problems of magnetohydrodynamics in multi-connected domains |
scientific article; zbMATH DE number 6363416 |
Statements
\(L_p\)-theory of free boundary problems of magnetohydrodynamics in multi-connected domains (English)
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3 November 2014
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The author develops the \(L_p\)-theory of solvability of free boundary problems of magnetohydrodynamics of viscous incompressible fluids in multi-connected domains following the paper [the author, Interfaces Free Bound. 14, No. 4, 569--602 (2012; Zbl 1282.35315)] devoted to the \(L_2\)-theory. The author proves that the problem has a unique solution defined in a certain (small) time interval.
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free boundaries
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magnetohydrodynamics
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Sobolev spaces
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solenoidal vector fields
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0.94341505
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0.9171331
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0.9109426
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0.9093814
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0.9056892
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0.89695776
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0.8934139
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0.8912736
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