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arXiv · 2312.15510

The Vlasov-Maxwell-Boltzmann/Landau system with polynomial perturbation near Maxwellian

Chuqi Cao·Dingqun Deng·Xingyu Li
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Abstract

In this paper, we study the Vlasov-Maxwell-Boltzmann system without angular cutoff and the Vlasov-Maxwell-Landau/Boltzmann system with polynomial perturbation $F=\mu+f$ near global Maxwellian. In particular, we prove the global existence, uniqueness and large time behavior for solutions in a polynomial weighted space $H^N_{x,v}(\langle v\rangle^k)$. The method is based on Duhamel's principle with the crucial time-decay analysis on the particle distribution $f$ and the electromagnetic field $(E,B)$.

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Chuqi Cao, Dingqun Deng, Xingyu Li. 2023-12-24. The Vlasov-Maxwell-Boltzmann/Landau system with polynomial perturbation near Maxwellian. https://arxiv.org/abs/2312.15510

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