Stability of Advective Flow in a Horizontal Incompressible Fluid Layer in the Presence of the Navier Slip Condition

2020 ◽  
Vol 55 (1) ◽  
pp. 31-42
Author(s):  
K. G. Schwarz ◽  
Yu. A. Schwarz
Keyword(s):  
Incompressible Fluid ◽  
Fluid Layer ◽  
Slip Condition ◽  
Advective Flow ◽  
Navier Slip ◽  
Navier Slip Condition

Layered Marangoni convection with the Navier slip condition

Sadhana ◽  
2021 ◽  
Vol 46 (1) ◽  
Author(s):  
Natalya V Burmasheva ◽  
Valentina V Privalova ◽  
Evgeniy Yu Prosviryakov
Keyword(s):  
Marangoni Convection ◽  
Slip Condition ◽  
Navier Slip ◽  
Navier Slip Condition

scholarly journals Analysis of Stokes system with solution-dependent subdifferential boundary conditions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Jing Zhao ◽  
Stanisław Migórski ◽  
Sylwia Dudek
Keyword(s):  
Boundary Conditions ◽  
Convex Sets ◽  
Stokes Problem ◽  
Weak Form ◽  
Nonlinear Boundary Conditions ◽  
Slip Condition ◽  
Hemivariational Inequalities ◽  
Navier Slip ◽  
New Class ◽  
Navier Slip Condition

AbstractWe study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita slip condition, and the threshold slip and leak condition of frictional type. The weak form of the problem leads to a new class of variational–hemivariational inequalities on convex sets for the velocity field. Solution existence and the weak compactness of the solution set to the inequality problem are established based on the Schauder fixed point theorem.

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