Published 2002 | Version v1
Report Metadata-only

Study of the Quasi-Static Norton-Hoff Heat Problem

Ferchichi, Jamel
Zolésio, Jean-Paul
Others:
Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE (OPALE) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
INRIA

Description

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.

Additional details

Identifiers Origin repository
Created:
December 3, 2022
Modified:
December 1, 2023