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arXiv · 1804.06566

Propagation of regularity and long time behavior of the $3D$ massive relativistic transport equation II: Vlasov-Maxwell system

Xuecheng Wang
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Abstract

Given any smooth, suitably small initial data, which decays polynomially at infinity, we prove global regularity for the $3D$ relativistic massive Vlasov-Maxwell system. In particular, the compact support assumption, which is widely used in the literature, is not imposed on the initial data. Our proofs are based on a combination of the Klainerman vector fields method and the Fourier method, which allows us to exploit a crucial hidden null structure in the relativistic Vlasov-Maxwell system.

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Xuecheng Wang. 2018-04-18. Propagation of regularity and long time behavior of the $3D$ massive relativistic transport equation II: Vlasov-Maxwell system. https://arxiv.org/abs/1804.06566

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