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Study of the Quasi-Static Norton-Hoff Heat Problem

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 are interested in the study of a quasistatic visco-plastic flow with thermal effects. The fluid motion is governed by the incompressible Norton-Hof- f model coupled with the dynamic heat equation whose the dissipation mecanicha- l power is the source term. The viscosity of the fluid is modeled by the Arrhenuis law.One of the principal aims of this paper is to prove an existence result to the considered problem and the compactness of the solutions set.
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https://hal.inria.fr/inria-00072156
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Submitted on : Tuesday, May 23, 2006 - 7:55:42 PM
Last modification on : Thursday, January 20, 2022 - 5:32:10 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:55:56 PM

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  • HAL Id : inria-00072156, version 1

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Jamel Ferchichi, Jean-Paul Zolésio. Study of the Quasi-Static Norton-Hoff Heat Problem. [Research Report] RR-4432, INRIA. 2002. ⟨inria-00072156⟩

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