The strong solutions for a class of fluid-particle interaction non-Newtonian models

Boundary value problems

Heyuan Wang¹  Yukun Song¹  Yang Chen¹  Yunliang Zhang² 

[1]College of Science, Liaoning University of Technology, Jinzhou, P.R. China

[2]Institute of Mathematics, Jilin University, Changchun, P.R. China

关键词: strong solution;    fluid-particle interaction model;    non-Newtonian fluid;    vacuum;   

DOI  :  10.1186/s13661-016-0617-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper is to discuss the existence and uniqueness for a class of fluid-particle interaction non-Newtonian models which describe the evolution of particles dispersed in a viscous compressible non-Newtonian fluid. The strong nonlinearity of the system and the singularity of the viscosity term bring about difficulties. Also, we admit an initial vacuum.

【 授权许可】

CC BY