scholarly journals Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition

2019 ◽  
Vol 60 (1) ◽  
pp. 011505 ◽  
Author(s):  
Nikolai V. Chemetov ◽  
Šárka Nečasová ◽  
Boris Muha
Keyword(s):  
Boundary Condition ◽  
Rigid Body ◽  
Slip Boundary Condition ◽  
Strong Uniqueness ◽  
Body Interaction ◽  
Slip Boundary ◽  
Interaction Problem

NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION

2005 ◽  
Vol 15 (03) ◽  
pp. 343-374 ◽  
Author(s):  
GUY BAYADA ◽  
NADIA BENHABOUCHA ◽  
MICHÈLE CHAMBAT
Keyword(s):  
Boundary Condition ◽  
Friction Coefficient ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Micropolar Fluid ◽  
Reynolds Equation ◽  
Slip Boundary Condition ◽  
Slip Boundary ◽  
New Models ◽  
Uniqueness Of The Solution

A thin micropolar fluid with new boundary conditions at the fluid-solid interface, linking the velocity and the microrotation by introducing a so-called "boundary viscosity" is presented. The existence and uniqueness of the solution is proved and, by way of asymptotic analysis, a generalized micropolar Reynolds equation is derived. Numerical results show the influence of the new boundary conditions for the load and the friction coefficient. Comparisons are made with other works retaining a no slip boundary condition.

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