Global classical large solutions to a 1D fluid-particle interaction model: The bubbling regime

被引：23

作者：

Fang, Daoyuan ^{[1
]}

Zi, Ruizhao ^{[1
]}

Zhang, Ting ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 03期

关键词：

NAVIER-STOKES EQUATIONS; ASYMPTOTIC ANALYSIS; HYDRODYNAMIC LIMIT; SYSTEM; FLOW; SEDIMENTATION; VACUUM; SPRAY;

D O I：

10.1063/1.3693979

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is concerned with the 1D fluid-particle interaction model in the so-called bubbling regime which describes the evolution of particles dispersed in a viscous compressible fluid. The model under investigation is described by the conservation of fluid mass, the balance of momentum and the balance of particle density. We obtained the global existence and uniqueness of the classical large solution to this model with the initial fluid density rho(0) admitting vacuum. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3693979]

引用

页数：21

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