Geodesic
Evolution Hemivariational Inequalities for Non-stationary Navier-Stokes Equations: Existence of Periodic Solutions by an Equilibrium Problem Approach
Minimax theory and its applications, Tome 3 (2018) no. 1

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The main goal of this paper is to study the existence of solutions for non-stationary Navier Stokes equations with a subdifferential boundary condition described by a superpotential function which is locally Lipschitz. The approach adopted in this paper is based on recent developments in the theory of equilibrium problems.
Mots-clés : Navier-Stokes equations, hemivariational inequalities, pseudomonotone operators, equilibrium problems, maximal bifunctions, pseudomonotone bifunctions, mollification 
S. Ben Aadi; O. Chadli,A. Koukkous. Evolution Hemivariational Inequalities for Non-stationary Navier-Stokes Equations: Existence of Periodic Solutions by an Equilibrium Problem Approach. Minimax theory and its applications, Tome 3 (2018) no. 1. http://geodesic.mathdoc.fr/item/MTA_2018_3_1_a2/
@article{MTA_2018_3_1_a2,
     author = {S. Ben Aadi and O. Chadli,A. Koukkous},
     title = {Evolution {Hemivariational} {Inequalities} for {Non-stationary} {Navier-Stokes} {Equations:} {Existence} of {Periodic} {Solutions} by an {Equilibrium} {Problem} {Approach}},
     journal = {Minimax theory and its applications},
     year = {2018},
     volume = {3},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2018_3_1_a2/}
}
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