Global Existence and Decay Estimates for the Classical Solutions to a Compressible Fluid-Particle Interaction Model

2019 ◽  
Vol 39 (6) ◽  
pp. 1525-1537
Author(s):  
Shijin Ding ◽  
Bingyuan Huang ◽  
Quanrong Li
Keyword(s):  
Global Existence ◽  
Compressible Fluid ◽  
Particle Interaction ◽  
Interaction Model ◽  
Fluid Particle ◽  
Classical Solutions ◽  
Decay Estimates

scholarly journals Global well-posedness of classical solutions to a fluid–particle interaction model inR3

2017 ◽  
Vol 263 (12) ◽  
pp. 8666-8717 ◽  
Author(s):  
Shijin Ding ◽  
Bingyuan Huang ◽  
Huanyao Wen
Keyword(s):  
Particle Interaction ◽  
Interaction Model ◽  
Fluid Particle ◽  
Classical Solutions ◽  
Well Posedness

A REVIEW OF APPLICATIONS OF A FLUID-PARTICLE INTERACTION MODEL TO PREDICTIONS OF FLUIDISED BED BEHAVIOUR

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

scholarly journals Existence of solutions for a shear thickening fluid-particle system with non-Newtonian potential

2018 ◽  
Vol 16 (1) ◽  
pp. 704-717
Author(s):  
Yukun Song ◽  
Fengming Liu
Keyword(s):  
Existence And Uniqueness ◽  
Existence Of Solutions ◽  
Particle System ◽  
Particle Interaction ◽  
Interaction Model ◽  
Shear Thickening ◽  
Strong Solutions ◽  
Fluid Particle ◽  
Newtonian Potential ◽  
Shear Thickening Fluid

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.

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

2012 ◽  
Vol 53 (3) ◽  
pp. 033706 ◽  
Author(s):  
Daoyuan Fang ◽  
Ruizhao Zi ◽  
Ting Zhang
Keyword(s):  
Particle Interaction ◽  
Interaction Model ◽  
Fluid Particle ◽  
Large Solutions

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
Keyword(s):  
Particle Interaction ◽  
Interaction Model ◽  
Fluid Particle

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

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Yukun Song ◽  
Heyuan Wang ◽  
Fengming Liu
Keyword(s):  
Particle Interaction ◽  
Interaction Model ◽  
Strong Solutions ◽  
Initial Boundary ◽  
Fluid Particle ◽  
Newtonian Potential ◽  
Strong Nonlinearity ◽  
Potential Term ◽  
Viscosity Term ◽  
Local Strong Solution

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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