ASYMPTOTIC GROWTH OF SUPPORT AND UNIFORM DECAY OF MOMENTS FOR THE VLASOV-POISSON SYSTEM

被引：15

作者：

Chen, Zili

Li, Xiuting ^{[1
,2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Hubei, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2018年 / 50卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Vlasov-Poisson system; asymptotic behavior; velocity support; velocity-spatial moments; COLLISIONLESS PLASMA; KINETIC-EQUATIONS; GLOBAL EXISTENCE; LARGE VELOCITIES; SPACE MOMENTS; DIMENSIONS; TIME DECAY; PROPAGATION; REGULARITY;

D O I：

10.1137/16M1080665

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider asymptotic behaviors of classical solutions and weak solutions to the three-dimensional Vlasov-Poisson system in the plasma physics case. For a smooth solution with compactly supported initial datum, its velocity support is shown to grow like (t + 1)(2/15) ln (8/15)(t + 2). For a weak solution with bounded initial velocity-spatial moments or spatial moments of order > 2, we establish some decay results for its high velocity-spatial moments.

引用

页码：4180 / 4202

页数：23

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