Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions (Articolo in rivista)

Type
Label
  • Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.na.2012.11.010 (literal)
Alternative label
  • Luca Calatroni; Pierluigi Colli (2013)
    Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions
    in Nonlinear analysis; Elsevier Ltd, Oxford (Regno Unito)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Luca Calatroni; Pierluigi Colli (literal)
Pagina inizio
  • 12 (literal)
Pagina fine
  • 27 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0362546X12004361 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 79 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Cambridge Centre for Analysis, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom; Dipartimento di Matematica F. Casorati, Università di Pavia, Via Ferrata 1, 27100, Pavia, Italy (literal)
Titolo
  • Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions (literal)
Abstract
  • We prove well-posedness results for the solution to an initial and boundary-value problem for an Allen-Cahn type equation describing the phenomenon of phase transitions for a material contained in a bounded and regular domain. The dynamic boundary conditions for the order parameter have been recently proposed by some physicists to account for interactions with the walls in Fischer (1997) [13], Kenzler (2001) [14]. We show our results using suitable regularizations of the nonlinearities of the problem and performing some a priori estimates which allow us to pass to the limit thanks to compactness and monotonicity arguments. (literal)
Editore
Prodotto di
Autore CNR
Insieme di parole chiave

Incoming links:


Prodotto
Autore CNR di
Editore di
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
Insieme di parole chiave di
data.CNR.it