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.

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.

scholarly journals Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting

2015 ◽  
Vol 2015 ◽  
pp. 1-17
Author(s):  
Yunliang Zhang ◽  
Zhidong Guo
Keyword(s):  
Existence And Uniqueness ◽  
Shear Thickening ◽  
Strong Solutions ◽  
Newtonian Potential ◽  
State Function ◽  
Heat Conducting ◽  
Strong Nonlinearity ◽  
Shear Thickening Fluids ◽  
Local Strong Solutions ◽  
Local Strong Solution

The aim of this paper is to discuss the model for a class of shear thickening fluids with non-Newtonian potential and heat-conducting. Existence and uniqueness of local strong solutions for the model are proved. In this paper, there exist two difficulties we have to overcome. One is the strong nonlinearity of the system. The other is that the state function is not fixed.

scholarly journals The well-posedness of solution to a compressible non-Newtonian fluid with self-gravitational potential

2018 ◽  
Vol 16 (1) ◽  
pp. 1466-1477
Author(s):  
Yukun Song ◽  
Shuai Chen ◽  
Fengming Liu
Keyword(s):  
Newtonian Fluid ◽  
Gas Flow ◽  
Strong Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Uniqueness Of Solutions ◽  
Potential Term ◽  
Viscosity Term ◽  
Isentropic Gas ◽  
Initial Boundary Value

AbstractWe study the initial boundary value problem of a compressible non-Newtonian fluid. The system describes the motion of the compressible viscous isentropic gas flow driven by the non-Newtonian self-gravitational force. The existence of strong solutions are derived in one dimensional bounded intervals by constructing a semi-discrete Galerkin scheme. Moreover, the uniqueness of solutions are also investigated. The main point of the study is that the viscosity term and potential term are fully nonlinear, and the initial vacuum is allowed.

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

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Yukun Song ◽  
Heyuan Wang ◽  
Yang Chen ◽  
Yunliang Zhang
Keyword(s):  
Particle Interaction ◽  
Strong Solutions ◽  
Fluid Particle

Strong solutions for a 1D fluid-particle interaction non-newtonian model: The bubbling regime

2013 ◽  
Vol 54 (9) ◽  
pp. 091501 ◽  
Author(s):  
Yukun Song ◽  
Hongjun Yuan ◽  
Yang Chen ◽  
Zhidong Guo
Keyword(s):  
Particle Interaction ◽  
Strong Solutions ◽  
Fluid Particle ◽  
Newtonian Model
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