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Publikováno v:
International Journal of Non-Linear Mechanics. 65:271-285
The current work deals with visco-plastic flows with thermal effects. The fluid motion is governed by the quasistatic Norton–Hoff operator coupled with the instationary heat equation involving the conduction term. The fluid׳s viscosity is modeled
Publikováno v:
Afrika Matematika. 26:1-16
We deal with free boundaries evolution in visco-plastic flows. The fluid motion is governed by the incompressible Norton-Hoff operator in the non-cylindrical quasi-static case coupled with the time-dependent convection system. The novelty of this wor
Publikováno v:
Applied Mathematics and Computation. 219:7056-7074
We consider a viscous incompressible fluid under the action of a finite number of particles located inside the flow domain. Each particle exerts a pointwise force on the fluid. The main objective is the detection of point-forces locations through min
Autor:
J. P. Zolésio, J. Ferchichi
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 20:1065-1078
The main novelty of this article is to reveal a weak formulation of rigid bodies motion arising from free boundaries evolution in visco-plastic flows governed by the incompressible Norton–Hoff operator with non-cylindrical coefficients. We supply t
Autor:
J. Ferchichi, I. Gaied
Publikováno v:
ISRN Applied Mathematics. 2011:1-9
We deal with viscoplastic flows. The fluid motion is governed by the nonlinear incompressible Norton-Hoff operator with homogeneous boundary conditions. We provide the well-posedness of the model in the static case. The idea is based on the crucial p
Autor:
J. Ferchichi, J.P. Zolésio
Publikováno v:
Journal of Mathematical Analysis and Applications. 334(1):97-113
We are interested in the study of quasistatic visco-plastic flows with thermal effects. The fluid motion is governed by the incompressible Norton–Hoff model coupled with the time-dependent heat equation where the dissipated mechanical power is the
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 66:2618-2634
Optimal control of time dependent fluid flow governed by the incompressible Navier–Stokes equations is considered. A cost functional based on a local dynamical systems characterization of vortices is investigated. The resulting functional is a non-
Autor:
J. Ferchichi
Publikováno v:
International Journal of Non-Linear Mechanics. 42:450-458
We consider an optimal control problem of fluids flow. The fluid motion is governed by the incompressible time-dependent Navier–Stokes equations. A new optimal control formulation for the reduction and possibly extinction of vortices is proposed. A
Publikováno v:
Inverse Problems. 20:1083-1097
We investigate an optimization problem (OP) in a non-standard form: the cost functional measures the L1 distance between the solution u of the direct Robin problem and a function f L1(M). After proving positivity, monotonicity and control properties