Linear instability of Vlasov-Maxwell systems revisited-A Hamiltonian approach

Zhiwu Lin

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arXiv · 2107.12441

Linear instability of Vlasov-Maxwell systems revisited-A Hamiltonian approach

Zhiwu Lin

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Abstract

We consider linear stability of steady states of 1(1/2) and 3D Vlasov-Maxwell systems for collisionless plasmas. The linearized systems can be written as separable Hamiltonian systems with constraints. By using a general theory for separable Hamiltonian systems, we recover the sharp linear stability criteria obtained previously by different approaches. Moreover, we obtain the exponential trichotomy estimates for the linearized Vlasov-Maxwell systems in both relativistic and nonrelativistic cases.

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Zhiwu Lin. 2021-07-26. Linear instability of Vlasov-Maxwell systems revisited-A Hamiltonian approach. https://arxiv.org/abs/2107.12441

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