Solutions of the Vlasov-Maxwell-Boltzmann system with long-range\n interactions

2013/03/12 by Diogo Arsénio, Arsénio, Diogo, Laure Saint‐Raymond +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1303.2944

openalex publication_date 2013/03/12 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We establish the existence of renormalized solutions of the\nVlasov-Maxwell-Boltzmann system with a defect measure in the presence of\nlong-range interactions. We also present a control of the defect measure by the\nentropy dissipation only, which turns out to be crucial in the study of\nhydrodynamic limits.\n

Citations

• Global weak solutions of Vlasov‐Maxwell systems

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