相对论 Nordström-Vlasov 方程解的正则性

Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (3): 743-753.

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Regularity of the Solutions to the Nordström-Vlasov System

Chen Ruijuan¹(),He YingXi²(),Xiao Meixia^1,^*()

¹Research Center of Nonlinear Science, School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430200
²Essex business school, University of essex Wivenhoe Park, Colchester CO4 3SQ

Received:2022-01-26 Revised:2022-10-28 Online:2023-06-26 Published:2023-06-01
Contact: Meixia Xiao E-mail:ruijuanchen@hust.edu.cn;yh20602@essex.ac.uk;xiao_meixia@163.com
Supported by:
NSFC(12001406);Science and Technology Research Project of Education Department of Hubei Province(B2021095)

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

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Regularity of the Solutions to the Nordström-Vlasov System

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