Existence of global solution for a differential system with initial data in \(L^p\) (Q1970287)
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scientific article; zbMATH DE number 1417981
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of global solution for a differential system with initial data in \(L^p\) |
scientific article; zbMATH DE number 1417981 |
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Existence of global solution for a differential system with initial data in \(L^p\) (English)
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19 March 2000
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A differential system arising from geophysics is considered to modelize the flow in the magnetic field within the Earth. Initial data in \(L^p\)-spaces are considered for this system. Leray's approximation is used. New a priori estimates are obtained, by using a variant of Calderon's procedure for the Navier-Stokes equations. Uniqueness and existence global in time of a weak solution is proved.
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uniqueness
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flow in the magnetic field within the Earth
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Leray's approximation
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a priori estimates
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0.8793231248855591
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0.7740395069122314
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0.7661128044128418
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0.7406333684921265
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