scholarly journals On the dynamics of a fluid–particle interaction model: The bubbling regime

2011 ◽  
Vol 74 (8) ◽  
pp. 2778-2801 ◽  
Author(s):  
J.A. Carrillo ◽  
T. Karper ◽  
K. Trivisa
1987 ◽  
Vol 62 (1-6) ◽  
pp. 17-29 ◽  
Author(s):  
L.G. GIBILARO ◽  
P.U. FOSCOLO ◽  
S.P. WALDRAM ◽  
R. Di FELICE ◽  
I. HOSSAIN

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.


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