A phase transition model with the entropy balance
Copyright policy )A phase transition model with the entropy balance
AbstractThis paper deals with a phase transition model in which the energy balance is equivalently rewritten in terms of the entropy balance. The thermodynamical consistence of the model is proved and also under physically meaningful assumptions on the data, existence of a solution is stated for the corresponding initial boundary values problem by a maximum principle. Hence, L1‐arguments yield the uniqueness of the solution and show that it evolves in accordance with thermodynamics and everyday practical properties. Copyright © 2003 John Wiley & Sons, Ltd.
- University of Pavia Italy
- University of Milan Italy
- Observatoire de la Côte d’Azur France
- Lagrange Laboratory France
maximum principle, uniquene, existence, entropy balance and phase transitions, Nonlinear parabolic equations, phase transition model, parabolic system, Mathematics (all); Applied Mathematics, Stefan problems, phase changes, etc., Maximum principles in context of PDEs
maximum principle, uniquene, existence, entropy balance and phase transitions, Nonlinear parabolic equations, phase transition model, parabolic system, Mathematics (all); Applied Mathematics, Stefan problems, phase changes, etc., Maximum principles in context of PDEs
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