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Global existence for a class of generalized systems for irreversible phase changes |
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| Authors: | Pierluigi Colli Fabio Luterotti Giulio Schimperna Ulisse Stefanelli |
| Affiliation: | (1) Dipartimento di Matematica, Universitá di Pavia, via Ferrata 1, 27100 Pavia, Italy, e-mail: pier@dragon.ian.pv.cnr.it, IT;(2) Dipartimento di Elettronica per l'Automazione, Universitá di Brescia, via Branze 38 25123 Brescia, Italy, e-mail: luterott@bsing.ing.unibs.it, IT;(3) Dipartimento di Matematica, Universitá di Pavia, via Ferrata 1, 27100 Pavia, Italy, e-mail: schimper@dragon.ian.pv.cnr.it, IT;(4) Dipartimento di Matematica, Universitá di Pavia, via Ferrata 1, 27100 Pavia, Italy, e-mail: ulisse@dimat.unipv.it, IT |
| Abstract: | A nonlinear evolution system is investigated. It can describe a wide class of phase transition phenomena, including irreversible phase changes. The nonlinearities are of various kind and two maximal monotone graphs appear in the phase relaxation equation. An existence result is established for the related Cauchy-Neumann problem by using regularization, truncation, and monotonicity techniques. |
| Keywords: | : Phase transitions microscopic movements subdifferential operators nonlinear evolution systems existence results maximum principle. |
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