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

页码：65 / 85

页数：21

共 80 条

[71] From Boltzmann to Euler: Hilbert's 6th problem revisited [J].