A priori estimates for 3D incompressible current-vortex sheets (Q411369)
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scientific article; zbMATH DE number 6021966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A priori estimates for 3D incompressible current-vortex sheets |
scientific article; zbMATH DE number 6021966 |
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A priori estimates for 3D incompressible current-vortex sheets (English)
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4 April 2012
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This article deals with the equations governing the motion of a perfectly conducting inviscid incompressible homogeneous plasma. The free boundary problem for current-vortex sheets is considered. This problem is reduced to a fixed domain by considering a suitable change of variables. The control of the function describing the free interface follows from a stability condition. An a priori estimate for smooth solutions in Sobolev norm is obtained by showing the boundedness of a higher-order energy functional.
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magnetohydrodynamics
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free boundary
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current-vortex sheets
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smooth solutions
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a priori estimates
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