Solutions of the Vlasov–Maxwell–Boltzmann system with long-range interactions |
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Authors: | Diogo Arsénio Laure Saint-Raymond |
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Institution: | 1. Institut de mathématiques, Université Paris-7–Denis-Diderot, Paris, France;2. Département de mathématiques et applications, École normale supérieure, Paris, France |
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Abstract: | 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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