Velocity averaging in L1 for the transport equation

被引：50
|
作者：
Golse, F
Saint-Raymond, L
机构：
[1] Inst Univ France, F-75005 Paris, France
[2] Ecole Normale Super, DMA, F-75005 Paris, France
[3] Univ Paris 06, Anal Numer Lab, F-75013 Paris, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2002年 / 334卷 / 07期
关键词：
D O I：
10.1016/S1631-073X(02)02302-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new result of L-1-compactness for velocity averages of solutions to the transport equation is stated and proved in this Note. This result, proved by a new interpolation argument, extends to the case of any space dimension Lemma 8 of Golse-Lions-Perthame-Sentis [J. Funct. Anal. 76 (1988) 110-125], proved there in space dimension I only. This is a key argument in the proof of the hydrodynamic limits of the Boltzmann or BGK equations to the incompressible Euler or Navier-Stokes equations.
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页码：557 / 562
页数：6
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