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arXiv · 1402.3633

Spectrum analysis for the Vlasov-Poisson-Boltzmann system

Hailiang Li·Tong Yang·Mingying Zhong
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Abstract

By identifying a norm capturing the effect of the forcing governed by the Poisson equation, we give a detailed spectrum analysis on the linearized Vlasov-Poisson-Boltzmann system around a global Maxwellian. It is shown that the electric field governed by the self-consistent Poisson equation plays a key role in the analysis so that the spectrum structure is genuinely different from the well-known one of the Boltzmann equation. Based on this, we give the optimal time decay rates of solutions to the equilibrium.

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Hailiang Li, Tong Yang, Mingying Zhong. 2014-02-15. Spectrum analysis for the Vlasov-Poisson-Boltzmann system. https://arxiv.org/abs/1402.3633

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