Boltzmann to Landau from the gradient flow perspective

被引：10

作者：

Carrillo, Jose A. ^{[1
]}

Delgadino, Matias G. ^{[2
]}

Wu, Jeremy ^{[1
]}

机构：

[1] Univ Oxford, Math Inst, Oxford OX2 6GG, England

[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 219卷

基金：

欧洲研究理事会;

关键词：

Boltzmann equation; Plasma particles; Kinetic theory; Gamma-convergence; Gradient flows; SPATIALLY HOMOGENEOUS BOLTZMANN; GRAZING COLLISIONS; GAMMA-CONVERGENCE; EQUATION; REGULARITY; EVOLUTION; LIMIT;

D O I：

10.1016/j.na.2022.112824

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit the grazing collision limit connecting the Boltzmann equation to the Landau(-Fokker-Planck) equation from their recent reinterpretations as gradient flows. Our results are in the same spirit as the gamma-convergence of gradient flows technique introduced by Sandier and Serfaty [39]; Serfaty [41]. In this setting, the grazing collision limit reduces to showing the lower semi-continuous convergence of the Boltzmann entropy-dissipation to the Landau entropy-dissipation. (C) 2022 The Author(s). Published by Elsevier Ltd.

引用

页数：49

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