Smoothing Effects for Classical Solutions of the Full Landau Equation

被引：45

作者：

Chen, Yemin ^{[1
]}

Desvillettes, Laurent ^{[2
]}

He, Lingbing ^{[3
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[2] ENS, CNRS, PRES UniverSud, CMLA, F-94235 Cachan, France

[3] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2009年 / 193卷 / 01期

关键词：

FOURIER INTEGRAL-OPERATORS; FOKKER-PLANCK EQUATION; BOLTZMANN-EQUATION; REGULARITY; SINGULARITIES; COMPACTNESS; SMOOTHNESS; TRANSFORM; SYSTEMS; PART;

D O I：

10.1007/s00205-009-0223-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider the smoothness of the solutions to the full Landau equation. In particular, we prove that any classical solutions (such as the ones obtained by Guo in a "close to equilibrium" setting) become immediately smooth with respect to all variables. This shows that the Landau equation is a nonlinear and nonlocal analog of an hypoelliptic equation.

引用

页码：21 / 55

页数：35

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