Flandoli: Interazione tra noise e singolarità nelle equazioni alle derivate parziali

Flandoli, Franco:
Interazione tra noise e singolarità nelle equazioni alle derivate parziali
Bollettino dell'Unione Matematica Italiana Serie 9 6 (2013), fasc. n.2, p. 253-267, (Italian)
pdf (837 Kb), djvu (165 Kb). | MR 3112979 | Zbl 1286.60064

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Viene discussa la possibilità che la presenza di rumore nelle PDE impedisca l'insorgere di singolarità. I risultati principali riguardano equazioni del trasporto lineari ed includono una discussione del prolungamento dopo una singolarità ed il limite per il noise che tende a zero. Il caso non lineare è più complesso ed ampiamente aperto.

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Referenza completa

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Referenze Bibliografiche