Stability and asymptotic analysis of a fluid-particle interaction model

被引：140

作者：

Carrillo, Jose A.

Goudon, Thierry ^{[1
]}

机构：

[1] Univ Lille 1, Team SIMPAF INRIA, Futurs & Lab Paul Panleve, F-59655 Villeneuve Dascq, France

[2] Autonomous Univ Barcelona, ICREA, Bellaterra, Spain

[3] Autonomous Univ Barcelona, Dept Math, Bellaterra, Spain

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 31卷 / 09期

关键词：

fluid-particles interaction; hydrodynamic limit; stability; Vlasov-Euler system;

D O I：

10.1080/03605300500394389

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The system consists in a Vlasov-Fokker-Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces. We also study some asymptotic problems, their equilibria and stability and the derivation of macroscopic two-phase models.

引用

页码：1349 / 1379

页数：31

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[11] Nonlinear stability in Lp for a confined system of charged particles [J].