相对论 Nordström-Vlasov 方程解的正则性

Abstract

Abstract:

In this paper, we investigate the Nordström-Vlasov system in the whole space. The kinetic model is a relativistic generalization of the classical Vlasov-Poisson system in the gravitational case and describes the ensemble motion of collisionless particles interacting by means of a self-consistent scalar gravitational field. With the Fourier analysis and the smoothing effect of low velocity particles, we get a regularity of weak solutions for the field.

Key words: Nordström-Vlasov system, Regularity, Fourier analysis

CLC Number:

O175.2

Chen Ruijuan, He YingXi, Xiao Meixia. Regularity of the Solutions to the Nordström-Vlasov System[J].Acta mathematica scientia,Series A, 2023, 43(3): 743-753.

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References 22

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Regularity of the Solutions to the Nordström-Vlasov System

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