The “Two and One–Half Dimensional” Relativistic Vlasov Maxwell System
The “Two and One–Half Dimensional” Relativistic Vlasov Maxwell System
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“二维半维”相对论性弗拉索夫麦克斯韦系统
DOI：
10.1007/s002200050090
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发表时间：
1997
影响因子：
2.4
通讯作者：
Jack Schaeffer
中科院分区：
文献类型：
--
作者：
R. Glassey;Jack Schaeffer
摘要：用Vlasov-Maxwell系统的解来模拟无碰撞等离子体的运动。研究了相空间分布函数f=f(t，x，v)依赖于时间t的相对论性Vlasov-Maxwell系统的柯西问题。对于任意大小的光滑数据，得到了经典解的整体存在性。从[12]中得到了全局光滑可解的一个充分条件：只有当等离子体粒子接近光速时，光滑解才能分解。在分布函数的速度支撑点上得到一个先验界，由此得出结果。
Abstract: The motion of a collisionless plasma is modeled by solutions to the Vlasov–Maxwell system. The Cauchy problem for the relativistic Vlasov–Maxwell system is studied in the case when the phase space distribution function f = f(t,x,v) depends on the time t, and . Global existence of classical solutions is obtained for smooth data of unrestricted size. A sufficient condition for global smooth solvability is known from [12]: smooth solutions can break down only if particles of the plasma approach the speed of light. An a priori bound is obtained on the velocity support of the distribution function, from which the result follows.