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Free Boundary Problemin Norton-Hoff Steady Flow with Thermal Effects

Jamel Ferchichi 1 Jean-Paul Zolésio 1
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : We consider the free boundary identification problem in a steady viscoplastic flow. The fluid motion is governed by the incompressible Norton-Hoff model coupled with the heat equation. The viscosity of the fluid is modeled by the Arrhenius law .Our point of view is to treat the problem as a shape sensitivity of a cost functional formulated on the free boundary and governed by the Norton-Hoff state. One of the main results of this paper is to provide a shape sensitivity result to the considered cost functional.
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https://hal.inria.fr/inria-00072171
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Submitted on : Tuesday, May 23, 2006 - 7:57:41 PM
Last modification on : Thursday, January 20, 2022 - 5:32:21 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:56:46 PM

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  • HAL Id : inria-00072171, version 1

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Jamel Ferchichi, Jean-Paul Zolésio. Free Boundary Problemin Norton-Hoff Steady Flow with Thermal Effects. [Research Report] RR-4417, INRIA. 2002. ⟨inria-00072171⟩

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