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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Shape sensitivity analysis for heat convection equation
by
Raja Dziri
Faculte sciences de Tunis, Tunisia
Coauthors: Jean-Paul Zolesio

We prove the material derivative existence for the solution of stationary nonlinear heat equation arising in natural or mixed convections. We establish a differentiability result for the same operator when the coefficients are assumed to be independent of the temperature. In both case we characterize the material derivative.

Date received: March 19, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-12.