Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations (Q2843454)
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scientific article; zbMATH DE number 6200935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations |
scientific article; zbMATH DE number 6200935 |
Statements
22 August 2013
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two-fluid Euler-Maxwell equations
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Besov spaces
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classical solutions
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local well-posedness
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blow-up
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global well-posedness
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Chemin-Lerner spaces
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Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations (English)
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The dynamics of a mixture of electrons and ions governed by two Euler equations coupled via resulting electromagnetic cross effects with Maxwell's equations is studied. The underlying domain is either \(\mathbb{R}^{N}\) or the \(N\)-dimensional period cube, \(N=2,3\). Local well-posedness and blow-up criteria are obtained in critical Besov spaces. Global well-posedness is shown for small data.
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