期刊
KINETIC AND RELATED MODELS
卷 11, 期 3, 页码 647-695出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/krm.2018027
关键词
Mathematical physics; kinetic theory; particle system; Landau equation; scaling limit
We consider a system of N particles interacting via a short-range smooth potential, in a weak-coupling regime. This means that the number of particles N goes to infinity and the range of the potential epsilon goes to zero in such a way that N epsilon(2) = alpha, with alpha diverging in a suitable way. We provide a rigorous derivation of the Linear Landau equation from this particle system. The strategy of the proof consists in showing the asymptotic equivalence between the one-particle marginal and the solution of the linear Boltzmann equation with vanishing mean free path. This point follows [3] and makes use of technicalities developed in [16]. Then, following the ideas of Landau, we prove the asympotic equivalence between the solutions of the Boltzmann and Landau linear equation in the grazing collision limit.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据