A REVIEW OF BOLTZMANN EQUATION WITH SINGULAR KERNELS

被引：42
作者：
Alexandre, Radjesvarane [1 ]
机构：
[1] French Naval Acad, F-29240 Brest Lanveoc Poulmic, France
来源：
KINETIC AND RELATED MODELS | 2009年 / 2卷 / 04期
关键词：
Boltzmann equations; cutoff hypothesis; existence; harmonic analysis; hypoellipticity; singular kernels; SPATIALLY HOMOGENEOUS BOLTZMANN; FOURIER INTEGRAL-OPERATORS; LITTLEWOOD-PALEY THEORY; FOKKER-PLANCK EQUATION; LARGE-TIME BEHAVIOR; WEAK SOLUTIONS; LINEARIZED BOLTZMANN; GLOBAL-SOLUTIONS; PART I; UNCERTAINTY PRINCIPLE;
D O I：
10.3934/krm.2009.2.551
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review recent results about Boltzmann equation for singular or non cutoff cross-sections. Both spatially homogeneous and inhomogeneous Boltzmann equations are considered, and ideas related to Landau equation are explained Various technical tools are presented, together with applications to existence and regularization issues
引用
收藏
页码：551 / 646
页数：96
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