Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma (Q647577)
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scientific article; zbMATH DE number 5978458
| Language | Label | Description | Also known as |
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| English | Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma |
scientific article; zbMATH DE number 5978458 |
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Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma (English)
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24 November 2011
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The authors establish some local conservation laws (or virial identities) for sufficiently regular solutions to the Zakharov system with a magnetic field and next show the blow-up in infinite time of global solutions similarly to \textit{F. Merle} [Commun. Math. Phys. 175, No. 2, 433--455 (1996; Zbl 0858.35117)] for the Zakharov system without a magnetic field. The computation of the virial identities is quite involved.
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blow-up
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Zakharov system
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magnetic field
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virial identity
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