Propagation of regularity and long time behavior of 3D massive relativistic transport equation I: Vlasov-Nordström system

2018/04/18 by Wang, Xuecheng · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1804.06560

Abstract

In this paper, we introduce a new set of vector fields for the relativistic transport equation, which is applicable for general Vlasov-Wave type coupled systems. By combining the strength of Klainerman vector field method and Fourier method, we prove global regularity and scattering for the 3D massive relativistic Vlasov-Nordström system for small initial data without any compact support assumption, which is widely used in the literature for the study of Vlasov solution.

Cited by

• Global existence of the irrotational Euler-Nordström equations with a positive cosmological constant: The gravitational field equation

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