Dispersion relations for the linearized Fokker-Planck equation

被引:86
作者
Degond, P
Lemou, M
机构
[1] UMR MIP CNRS 5640, UFR MIG, Université Paul Sabatier, 31062 Toulouse Cedex
关键词
D O I
10.1007/s002050050038
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We analyze the spectral properties and dispersion relations for the linearized Fokker-Planck operator in the case of hard potentials, as in ELLIS & PINSKY's work [7] on the Boltzmann equation. Results similar to those in [7] are obtained for the Fokker-Planck operator although the presence of a diffusion operator instead of a multiplication operator introduces many additional technical difficulties.
引用
收藏
页码:137 / 167
页数:31
相关论文
共 14 条
[11]  
Lions J.L., 1961, EQUATIONS DIFFERENTI
[12]   ON BOLTZMANN AND LANDAU EQUATIONS [J].
LIONS, PL .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1994, 346 (1679) :191-204
[13]   FLUID DYNAMICAL LIMIT OF NON-LINEAR BOLTZMANN-EQUATION TO LEVEL OF COMPRESSIBLE EULER EQUATION [J].
NISHIDA, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 61 (02) :119-148
[14]  
VILLANI C, IN PRESS ADV DIFF EQ