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Regularity of weak solutions for the relativistic Vlasov-Klein-Gordon system
  • Meixia Xiao,
  • Yingxi He
Meixia Xiao
Wuhan Textile University

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Yingxi He
University of Essex
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Abstract

This article is devoted to the study of the relativistic Vlasov-Klein-Gordon system in space dimension three. The dynamical model describes a collisionless ensemble of classical particles coupled with a Klein-Gordon field. By combining the Fourier method and smoothing effect of low velocity particles, we prove a higher regularity of the field, which is widely used for the study of Vlasov equation.