L'attività di ricerca di chi scrive si è finora indirizzata principalmente verso l'esame dei modelli di transizione di fase, dei modelli di isteresi, e delle relative equazioni non lineari alle derivate parziali. Qui si illustrano brevemente tali problematiche, indicando alcuni degli elementi che le collegano tra di loro. Il lavoro è organizzato come segue. I paragrafi 1, 2, 3 vertono sulle transizioni di fase: si introducono le formulazioni forte e debole del classico modello di Stefan, e si illustrano alcune generalizzazioni motivate fisicamente. Nei paragrafi 4, 5, 6 si definisce il concetto di operatore di isteresi, si forniscono alcuni esempi, e si discutono alcune equazioni alle derivate parziali in cui figurano tali operatori. Le due parti sono presentate in modo da consentirne una lettura indipendente.
@article{BUMI_2000_8_3B_1_31_0,
author = {Augusto Visintin},
title = {Transizioni di fase ed isteresi},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {3-A},
year = {2000},
pages = {31-77},
zbl = {1064.74139},
mrnumber = {1755701},
language = {it},
url = {http://dml.mathdoc.fr/item/BUMI_2000_8_3B_1_31_0}
}
Visintin, Augusto. Transizioni di fase ed isteresi. Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000) pp. 31-77. http://gdmltest.u-ga.fr/item/BUMI_2000_8_3B_1_31_0/
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