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arXiv · 2111.02132

On the Vlasov-Poisson-Boltzmann limit of the Vlasov-Maxwell-Boltzmann system

Ning Jiang·Yuanjie Lei·Huijiang Zhao
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Abstract

For the whole range of cutoff intermolecular interactions, we give a rigorous mathematical justification of the limit from the Vlasov-Maxwell-Boltzmann system to the Vlasov-Poisson-Boltzmann system as the light speed tends to infinity.Such a limit is shown to hold global-in-time in the perturbative framework.The key point in our analysis is to deduce certain a priori estimates which are independent of the light speed and the main difficulty is due to the degeneracy of the dissipative effect of the electromagnetic field for large light speed.

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Ning Jiang, Yuanjie Lei, Huijiang Zhao. 2021-11-03. On the Vlasov-Poisson-Boltzmann limit of the Vlasov-Maxwell-Boltzmann system. https://arxiv.org/abs/2111.02132

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