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

2021/11/03 by Ning Jiang, Jiang, Ning, Yuanjie Lei +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory

paper · pdf · doi:10.48550/arxiv.2111.02132

openalex publication_date 2021/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The classical limit of the relativistic Vlasov-Maxwell system

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• Hydrodynamic limit of the Vlasov-Poisson-Fokker-Planck system in low-field regime

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