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Mathematics > Analysis of PDEs

arXiv:1804.06566 (math)
[Submitted on 18 Apr 2018 (v1), last revised 18 Feb 2020 (this version, v3)]

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

Authors: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.
Comments: Reorganized to improve presentation
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1804.06566 [math.AP]
  (or arXiv:1804.06566v3 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.06566

Submission history

From: Xuecheng Wang [view email]
[v1] Wed, 18 Apr 2018 06:14:23 UTC (68 KB)
[v2] Mon, 28 May 2018 09:34:45 UTC (70 KB)
[v3] Tue, 18 Feb 2020 08:44:59 UTC (68 KB)
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