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- W4238376443 abstract "We prove the nonlinear stability or instability of certain periodic equilibria of the 1½D relativistic Vlasov-Maxwell system. In particular, for a purely magnetic equilibrium with vanishing electric field, we prove its nonlinear stability under a sharp criterion by extending the usual Casimir-energy method in several new ways. For a general electromagnetic equilibrium we prove that nonlinear instability follows from linear instability. The nonlinear instability is macroscopic, involving only the L1-norms of the electromagnetic fields. © 2006 Wiley Periodicals, Inc." @default.
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- W4238376443 date "2007-01-01" @default.
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- W4238376443 title "Nonlinear stability and instability of relativistic Vlasov-Maxwell systems" @default.
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- W4238376443 doi "https://doi.org/10.1002/cpa.20161" @default.
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