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A nonlinear system for irreversible phase changes

Published online by Cambridge University Press:  16 July 2009

Dominique Blanchard  and
Hamid Ghidouche
Dominique Blanchard
Affiliation:
Service de Mathématiques, Laboratoire Mixte LCPC/CNRS, Laboratoire des Matériaux et des Structures du Génie Civil, 58 Boulevard Lefebvre, 75015 Paris, France
Hamid Ghidouche
Affiliation:
Département de Mathématiques, Université Paris 13, Avenue J.B. Clément, 93430 Villetaneuse, France
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Abstract

This paper is concerned with the mathematical study of a nonlinear system modelling an irreversible phase change problem. Uniqueness of the solution is proved using the accretivity of the system in (L1)2. Expressing one of the two unknowns as an explicit functional of the other reduces the system to a single nonlinear evolution equation and ultimately leads to an existence theorem.

In this paper the existence and uniqueness of the solution of a nonlinear system modelling some irreversible phase changes is established.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 1 , Issue 1 , March 1990 , pp. 91 - 100
Copyright
Copyright © Cambridge University Press 1990

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