The Landau Equation in a Periodic Box
The Landau Equation in a Periodic Box
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DOI：
10.1007/s00220-002-0729-9
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发表时间：
2002-12
影响因子：
2.4
通讯作者：
Yan Guo
中科院分区：
文献类型：
--
作者：
Yan Guo
朗道方程是由朗道于1936年提出的描述带电粒子间库仑力相互作用的基本方程。本文构造了周期盒中朗道方程在Maxwell附近的整体时间经典解。我们的结果也涵盖了一类广义朗道方程，它描述了稀薄气体中的掠碰撞。
The Landau equation, which was proposed by Landau in 1936, is a fundamental equation to describe collisions among charged particles interacting with their Coulombic force. In this article, global in time classical solutions near Maxwellians are constructed for the Landau equation in a periodic box. Our result also covers a class of generalized Landau equations, which describes grazing collisions in a dilute gas.