Strong Solutions for the Fluid-Particle Interaction Model with Non-Newtonian Potential

被引：30

作者：

Song, Yukun ^{[1
]}

Wang, Heyuan ^{[1
]}

Liu, Fengming ^{[1
]}

机构：

[1] Liaoning Univ Technol, Coll Sci, Jinzhou 121001, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷

基金：

中国国家自然科学基金;

关键词：

EXISTENCE; EQUATIONS; VACUUM; FLOW;

D O I：

10.1155/2018/2028657

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper deals with a mathematical fluid-particle interaction model used to describing the evolution of particles dispersed in a viscous compressible non-Newtonian fluid. It is proved that the initial boundary value problems with vacuum admits a unique local strong solution in the dimensional case. The strong nonlinearity of the system brings us difficulties due to the fact that the viscosity term and non-Newtonian gravitational potential term are fully nonlinear.

引用

页数：11

共 25 条

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