The Vlasov‐Poisson‐Boltzmann system near Maxwellians
The Vlasov‐Poisson‐Boltzmann system near Maxwellians
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DOI：
10.1002/cpa.10040
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发表时间：
2002-09
影响因子：
3
通讯作者：
Yan Guo
中科院分区：
文献类型：
--
作者：
Yan Guo
稀薄电子的动力学可以用Vlasov-Poisson-Boltz-Mann系统来模拟，在这个系统中，电子通过碰撞和它们的自洽电场相互作用。结果表明，在质量、动量和总能量(包括动能和电能)不变的情况下，给定的全局麦克斯韦系统的任何光滑的周期初始扰动都会得到唯一的全局时间经典解。整体解的构造是基于一种新的碰撞耗散估计的能量方法：∫0t<Lf(S)，f(S)>ds对于Vlasov-Poisson-Boltzmann系统(1.4)的小振幅解f(t，x，v)是正定的.©2002威利期刊公司。
The dynamics of dilute electrons can be modeled by the Vlasov‐Poisson‐Boltz‐mann system, where electrons interact with themselves through collisions and with their self‐consistent electric field. It is shown that any smooth, periodic initial perturbation of a given global Maxwellian that preserves the same mass, momentum, and total energy (including both kinetic and electric energy), leads to a unique global‐in‐time classical solution. The construction of global solutions is based on an energy method with a new estimate of dissipation from the collision: ∫0t〈Lf(s), f(s)〉ds is positive definite for solution f(t,x,v) with small amplitude to the Vlasov‐Poisson‐Boltzmann system (1.4). © 2002 Wiley Periodicals, Inc.