scholarly journals Strong solutions to a fluid-particle interaction model with magnetic field in $ \mathbb{R}^2 $

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Shijin Ding ◽  
Bingyuan Huang ◽  
Xiaoyan Hou
2018 ◽  
Vol 16 (1) ◽  
pp. 704-717
Author(s):  
Yukun Song ◽  
Fengming Liu

AbstractThis paper is concerned with a compressible shear thickening fluid-particle interaction model for the evolution of particles dispersed in a viscous non-Newtonian fluid. Taking the influence of non-Newtonian gravitational potential into consideration, the existence and uniqueness of strong solutions are established.


2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Yukun Song ◽  
Heyuan Wang ◽  
Fengming Liu

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.


2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Yukun Song ◽  
Heyuan Wang ◽  
Yang Chen ◽  
Yunliang Zhang

2013 ◽  
Vol 54 (9) ◽  
pp. 091501 ◽  
Author(s):  
Yukun Song ◽  
Hongjun Yuan ◽  
Yang Chen ◽  
Zhidong Guo

1987 ◽  
Vol 62 (1-6) ◽  
pp. 17-29 ◽  
Author(s):  
L.G. GIBILARO ◽  
P.U. FOSCOLO ◽  
S.P. WALDRAM ◽  
R. Di FELICE ◽  
I. HOSSAIN

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