Optimal control of shear-thinning fluids

N Arada - SIAM Journal on Control and Optimization, 2012 - SIAM
The aim of this paper is to establish necessary optimality conditions for optimal control
problems governed by steady, incompressible Navier--Stokes equations with shear …

Optimal control of evolutionary quasi-Newtonian fluids

N Arada - SIAM Journal on Control and Optimization, 2014 - SIAM
We are interested in the necessary optimality conditions for optimal control problems of
systems describing the unsteady flow of incompressible shear-thickening fluids. To …

Distributed control for multistate modified Navier-Stokes equations

N Arada - ESAIM: Control, Optimisation and Calculus of …, 2013 - cambridge.org
The aim of this paper is to establish necessary optimality conditions for optimal control
problems governed by steady, incompressible Navier-Stokes equations with shear …

[PDF][PDF] Regularity of planar flows for shear-thickening fluids under perfect slip boundary conditions

J Tichý - Electronic Journal of Differential Equations, 2014 - ejde.math.txstate.edu
For evolutionary planar flows of shear-thickening fluids in bounded domains we prove the
existence of a solution with the Hölder continuous velocity gradients and pressure. The …

Optimal control of non-stationary second grade fluids with Navier-slip boundary conditions

N Arada, F Cipriano - arXiv preprint arXiv:1511.01134, 2015 - arxiv.org
We consider optimal control problems governed by systems describing the unsteady flows of
an incompressible second grade fluid with Navier-slip boundary conditions. We prove the …

Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions

V Mácha, J Tichý - Nonlinear Differential Equations and Applications …, 2017 - Springer
This paper is concerned with non-stationary flows of shear-thinning fluids in a bounded two-
dimensional C^ 2, 1 C 2, 1 domain. Assuming perfect slip boundary conditions, we provide a …

Regularity of flows and optimal control of shear-thinning fluids

N Arada - Nonlinear Analysis: Theory, Methods & Applications, 2013 - Elsevier
Regularity of flows and optimal control of shear-thinning fluids - ScienceDirect Skip to main
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[PDF][PDF] Analyse des ecoulements quasi-Newtoniens

A Amiour, NE Arada - 2019 - dspace.univ-jijel.dz
Dans le cas des fluides incompressibles, les équations de conservation de quantité de
mouvement et de masse dans un domaine Ω s' écrivent {ρ (∂ u∂ t+ u·∇ u)=∇· σ+ f dans …

[PDF][PDF] Topics in Mathematical Fluid Mechanics and Shape Optimization

MJ Stebel - 2018 - dspace.tul.cz
This habilitation thesis is based on the author's contributions to the mathematical theory of
incompressible fluids and to the shape optimization in fluid mechanics. In Chapter 2, an …

[PDF][PDF] Problemes de contrˆole optimal gouvern ́espar les ́equations de Navier-Stokes

D Bouchefra - 2017 - dspace.univ-jijel.dz
Lors de l'étude des conditions d'optimalité pour des problemes de contrôle optimal, une
étape fondamentale est consacréea l'analyse mathématique de l'équation d'état. Les …