Refaad for Studies, Research and Developement
Existence and Regularity Results for the Stokes System with Mixed Boundary Conditions
2519-9269 (Print)
2519-9277 (Online)
Volume 1
Issue 1
2016
August
0
Existence and Regularity Results for the Stokes System with Mixed Boundary Conditions
39
44
English
Mourad DilmiApplied Math Lab, Department of Mathematics, Setif I-University, 19000, Algeria. dilmorad@gmail.com
Hamid. BenseridiApplied Math Lab, Department of Mathematics, Setif I-University, 19000, Algeria.
In this paper we consider the nonlinear boundary value problem governed by a stationary perturbed Stokes system with
mixed boundary conditions ( Dirichlet-Fourier- maximal monotone graph), in a smooth domain. The existence and
regularity of the weak solution to this problem are proved. Our approach is based on the maximal monotone graph by its
Yosida regularization and the contraction method of Brezis
A priori inequalities; maximal monotone graph; Stokes; Variational problem.
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http://www.refaad.com/Files/GLM/GLM2016118-5.pdf