Latent heat identification in a two-phase Stefan problem
Résumé
A two-phase Stefan problem modelling a fusion or a solidification phenomenon is presented. It involves partial differential equations with discontinuities due to the latent heat. A regularisation of these equations is introduced, removing the discontinuities. Convergence results prove that it is possible to replace a problem of identifying the latent heat by a continuous problem issued from the regularisation. The difficulties inherent to the discontinuities are then avoided. A resolution method, based on the minimisation of a cost function by means of the calculus of variations is then presented.
Domaines
Automatique / Robotique
Origine : Fichiers produits par l'(les) auteur(s)
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