On global classical solutions of the Vlasov-Poisson system with radiation damping

被引:2
作者
Ma, Yaxian [1 ]
Zhang, Xianwen [1 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 06期
基金
中国国家自然科学基金;
关键词
Vlasov-Poisson system; Radiation damping; Global classical solution; Quasi-spherical symmetry; Quasi-neutrality; ASYMPTOTIC GROWTH; LARGE VELOCITIES; PLASMA PHYSICS; UNIFORM DECAY; EXISTENCE; MOMENTS; PROPAGATION;
D O I
10.1007/s00033-019-1211-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We are concerned with global well-posedness of the three-dimensional Vlasov-Poisson system with radiation damping. First, we show that global C-1 solutions verifying specified decay conditions are stable under small perturbations. As a consequence, we obtain that a small perturbation of a monopolar and spherically symmetric plasma launches a global C-1 solution that preserves quasi-spherical symmetry at the macroscopic level. Second, we show that an initially quasineutral datum with C-1 regularity launches a global classical solution that propagates quasi-neutrality at the macroscopic level. Finally, we obtain better decay estimates for the radiation damping in both cases.
引用
收藏
页数:18
相关论文
共 29 条
[1]  
BARDOS C, 1985, ANN I H POINCARE-AN, V2, P101
[2]   GLOBAL SYMMETRIC SOLUTIONS OF INITIAL VALUE-PROBLEM OF STELLAR DYNAMICS [J].
BATT, J .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 25 (03) :342-364
[3]  
Bauer S, 2006, ARXIVMATHPH0602031V1
[5]   Existence, Uniqueness and Asymptotic Behavior for the Vlasov-Poisson System with Radiation Damping [J].
Chen, Jing ;
Zhang, Xian Wen ;
Gao, Ran .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2017, 33 (05) :635-656
[6]   Global existence of small amplitude solutions to the Vlasov-Poisson system with radiation damping [J].
Chen, Jing ;
Zhang, Xianwen .
INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (12)
[7]   ASYMPTOTIC GROWTH OF SUPPORT AND UNIFORM DECAY OF MOMENTS FOR THE VLASOV-POISSON SYSTEM [J].
Chen, Zili ;
Li, Xiuting .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 50 (04) :4180-4202
[8]   Global Existence to the Vlasov-Poisson System and Propagation of Moments Without Assumption of Finite Kinetic Energy [J].
Chen, Zili ;
Zhang, Xianwen .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 343 (03) :851-879
[9]  
Chen ZL, 2014, COMMUN MATH SCI, V12, P279
[10]   SYMMETRIC PLASMAS AND THEIR DECAY [J].
HORST, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 126 (03) :613-633