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
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页码：551 / 646
页数：96
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