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Instabilities of the relativistic Vlasov--Maxwell system on unbounded domains

Ben-Artzi, Jonathan and Holding, Thomas 2017. Instabilities of the relativistic Vlasov--Maxwell system on unbounded domains. SIAM Journal on Mathematical Analysis 49 (5) , pp. 4024-4063. 10.1137/15M1025396

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The relativistic Vlasov--Maxwell system describes the evolution of a collisionless plasma. The problem of linear instability of this system is considered in two physical settings: the so-called one and one-half dimensional case, and the three dimensional case with cylindrical symmetry. Sufficient conditions for instability are obtained in terms of the spectral properties of certain Schrödinger operators that act on the spatial variable alone (and not in full phase space). An important aspect of these conditions is that they do not require any boundedness assumptions on the domains, nor do they require monotonicity of the equilibrium.

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Mathematics
Publisher: Society for Industrial and Applied Mathematics
ISSN: 0036-1410
Funders: EPSRC
Date of First Compliant Deposit: 31 October 2017
Date of Acceptance: 31 July 2017
Last Modified: 29 Nov 2020 08:57

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