scholarly journals Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions

2020 ◽  
Author(s):  
Václav Mácha ◽  
Sebastian Schwarzacher
Keyword(s):  
Boundary Conditions ◽  
Newtonian Fluids ◽  
Slip Boundary Conditions ◽  
Slip Boundary ◽  
Perfect Slip Boundary Conditions

scholarly journals Researches Concerning the Lubrication of Profiled Surfaces in Slip Boundary Conditions

2020 ◽  
Vol 12 (4) ◽  
pp. 163-172
Author(s):  
Alexandru Valentin RADULESCU ◽  
Irina RADULESCU
Keyword(s):  
Boundary Conditions ◽  
Pressure Distribution ◽  
Reynolds Equation ◽  
Lower Surface ◽  
Newtonian Fluids ◽  
Squeeze Film ◽  
Loading Capacity ◽  
Slip Boundary Conditions ◽  
Slip Boundary

The paper investigates the squeeze film process for non-Newtonian fluids between two circular parallel profiled surfaces. The lower surface is characterized by the existence of a cylindrical or spherical dimple in the center, which is specific for profiled surfaces by texturing. In order to integrate the Reynolds equation, the slip boundary conditions on the upper surface have been assumed. Finally, the pressure distribution and the loading capacity of the non-Newtonian film are obtained.

Boundary regularity of flows under perfect slip boundary conditions

2013 ◽  
Vol 11 (7) ◽  
Author(s):  
Petr Kaplický ◽  
Jakub Tichý
Keyword(s):  
Boundary Conditions ◽  
Stokes Equations ◽  
Boundary Regularity ◽  
Growth Conditions ◽  
Regularity Of Solutions ◽  
Slip Boundary Conditions ◽  
Optimal Regularity ◽  
Slip Boundary ◽  
Nonlinear Elliptic ◽  
Perfect Slip Boundary Conditions

AbstractWe investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.

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