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arxiv: 1303.2944 · v1 · pith:FSWH2D2Nnew · submitted 2013-03-12 · 🧮 math.AP

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

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keywords defectinteractionslong-rangemeasuresolutionssystemvlasov-maxwell-boltzmanncontrol
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We establish the existence of renormalized solutions of the Vlasov-Maxwell-Boltzmann system with a defect measure in the presence of long-range interactions. We also present a control of the defect measure by the entropy dissipation only, which turns out to be crucial in the study of hydrodynamic limits.

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