Dissipation of one-species VMB system with non-uniform ionic background |
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Authors: | Chi Honn Cheng |
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Institution: | Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, PR China |
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Abstract: | The Vlasov–Maxwell–Boltzmann system is a system that describes the dynamics of charged particles when there is electromagnetic field. There have been extensive studies on the energy estimates and global existence of solutions to the one- and two-species Vlasov–Maxwell–Boltzmann system when the background density is constant. In this work, we first deal with the energy estimates of the one-species Vlasov–Maxwell–Boltzmann system when the background density is a small perturbation from the stationary state. Then, we handle the dissipation rate for the linearized one-species Vlasov–Maxwell–Boltzmann system with the background density having a small perturbation around the stationary state. |
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Keywords: | Vlasov&ndash Maxwell&ndash Boltzmann system Hard-sphere model Energy estimates Time-decay estimates |
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