Growth estimates and uniform decay for the Vlasov-Poisson system

被引：6
|
作者：
Yang, Dongcheng [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 13期
关键词：
Vlasov-Poisson system; asymptotic behavior; electric field; COLLISIONLESS PLASMA; ASYMPTOTIC GROWTH; KINETIC-EQUATIONS; GLOBAL EXISTENCE; LARGE VELOCITIES; DIMENSIONS; TIME DECAY; PROPAGATION; MOMENTS;
D O I：
10.1002/mma.4356
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider smooth compactly supported solution to the classical Vlasov-Poisson system in three space dimensions in the electrostatic case. An estimate on velocities is derived, showing a growth rate at most like the power 1/8 of the time variable. As a consequence, a better decay estimate is obtained for the electric field in the L-infinity norm. Copyright (c) 2017 John Wiley & Sons, Ltd.
引用
收藏
页码：4906 / 4916
页数：11
相关论文
共 50 条
  • [41] Optimal decay estimates for the Vlasov–Poisson system with radiation damping
    Fucai Li
    Baoyan Sun
    Man Wu
    Zeitschrift für angewandte Mathematik und Physik, 2023, 74
  • [42] Stability estimates for the Vlasov-Poisson system in p-kinetic Wasserstein distances
    Iacobelli, Mikaela
    Junne, Jonathan
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2024, 56 (07) : 2250 - 2267
  • [43] Generalized Symplectization of Vlasov Dynamics and Application to the Vlasov-Poisson System
    Neiss, Robert Axel
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 231 (01) : 115 - 151
  • [44] A discontinuous Galerkin method for the Vlasov-Poisson system
    Heath, R. E.
    Gamba, I. M.
    Morrison, P. J.
    Michler, C.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (04) : 1140 - 1174
  • [45] On the Asymptotic Behavior of Solutions to the Vlasov-Poisson System
    Ionescu, Alexandru D.
    Pausader, Benoit
    Wang, Xuecheng
    Widmayer, Klaus
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (12) : 8865 - 8889
  • [46] Reconstruction of the doping profile in Vlasov-Poisson system
    Lai, Ru-Yu
    Li, Qin
    Sun, Weiran
    INVERSE PROBLEMS, 2024, 40 (11)
  • [47] CYLINDRICALLY SYMMETRIC SOLUTIONS TO THE VLASOV-POISSON SYSTEM
    WOLLMAN, S
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1979, 24 (08): : 961 - 961
  • [48] Steady spatial asymptotics for the Vlasov-Poisson system
    Schaeffer, J
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2003, 26 (04) : 273 - 296
  • [49] The Vlasov-Poisson system with strong magnetic field
    Golse, F
    Saint-Raymond, L
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1999, 78 (08): : 791 - 817
  • [50] CONVERGENCE OF SPECTRAL DISCRETIZATIONS OF THE VLASOV-POISSON SYSTEM
    Manzini, G.
    Funaro, D.
    Delzanno, G. L.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 55 (05) : 2312 - 2335
12345