FROM NEWTON TO NAVIER-STOKES, OR HOW TO CONNECT FLUID MECHANICS EQUATIONS FROM MICROSCOPIC TO MACROSCOPIC SCALES

被引：15
|
作者：
Gallagher, Isabelle [1 ,2 ]
机构：
[1] Univ Paris Diderot, Sorbonne Paris Cite, Paris, France
[2] Ecole Normale Super Paris, DMA, UMR 8553, Paris, France
来源：
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 01期
关键词：
Kinetic equations; fluid dynamics; particle systems; Boltzmann equation; Navier-Stokes equation; Boltzmann-Grad limit; low density limit; LINEAR BOLTZMANN-EQUATION; KINETIC-EQUATIONS; GLOBAL-SOLUTIONS; DYNAMIC LIMITS; RAREFIED-GAS; DERIVATION; PARTICLE; EXISTENCE; MOTION; DIFFUSION;
D O I：
10.1090/bull/1650
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this survey we present an overview of some mathematical results concerning the passage from the microscopic description of fluids via Newton's laws to the macroscopic description via the Navier-Stokes equations.
引用
收藏
页码：65 / 85
页数：21
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