Weak solutions and optimal control of hemivariational evolutionary Navier-Stokes equations under Rauch condition

In this paper we consider evolutionary Navier-Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under Rauch condition, we use the Galerkin approximation method and a weak p...

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Veröffentlicht in:	arXiv.org 2020-10
Hauptverfasser:	Mahdioui, Hicham, Sultana, Ben Aadi, Akhlil, Khalid
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Dynamic pressure Fluid dynamics Fluid flow Galerkin method Mathematical analysis Mathematics - Analysis of PDEs Navier-Stokes equations Optimal control
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