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Shape-sensitivity analysis for nonlinear heat convection

Shape-sensitivity analysis for nonlinear heat convection We prove the material derivative existence for the solution of the stationary nonlinear heat equation arising in natural or mixed convection. We establish a derivability result for the same operator when the coefficients are assumed to be independent of the temperature (the linear case). In both cases we give a characterization of the material derivative. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Shape-sensitivity analysis for nonlinear heat convection

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References (10)

Publisher
Springer Journals
Copyright
Copyright © 1997 by Springer-Verlag New York Inc.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Methods
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF02683317
Publisher site
See Article on Publisher Site

Abstract

We prove the material derivative existence for the solution of the stationary nonlinear heat equation arising in natural or mixed convection. We establish a derivability result for the same operator when the coefficients are assumed to be independent of the temperature (the linear case). In both cases we give a characterization of the material derivative.

Journal

Applied Mathematics and Optimization – Springer Journals

Published: Jan 1, 1997

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