scholarly journals Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Pearanat Chuchard ◽  
Somsak Orankitjaroen ◽  
Benchawan Wiwatanapataphee
Sadhana ◽  
2021 ◽  
Vol 46 (1) ◽  
Author(s):  
Natalya V Burmasheva ◽  
Valentina V Privalova ◽  
Evgeniy Yu Prosviryakov

Author(s):  
Jing Zhao ◽  
Stanisław Migórski ◽  
Sylwia Dudek

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.


2003 ◽  
Vol 63 (2) ◽  
pp. 722-744 ◽  
Author(s):  
Andrea Bertozzi ◽  
Michael Shearer ◽  
Robert Buckingham

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