In one space dimension, we prove existence of weak solutions for the Neumann problem for a degenerate parabolic system consisting of a fourth-order and a second-order equation with singular lower-order terms. This system arises in the description of phase separation and ordering in binary alloys.

Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility / R., DAL PASSO; Giacomelli, Lorenzo; A., NOVICK COHEN. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - STAMPA. - 1:(1999), pp. 199-216. [10.4171/IFB/9]

Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility

GIACOMELLI, Lorenzo;
1999

Abstract

In one space dimension, we prove existence of weak solutions for the Neumann problem for a degenerate parabolic system consisting of a fourth-order and a second-order equation with singular lower-order terms. This system arises in the description of phase separation and ordering in binary alloys.
1999
Partial Differential Equations; Allen-Cahn equation; Cahn-Hilliard equation
01 Pubblicazione su rivista::01a Articolo in rivista
Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility / R., DAL PASSO; Giacomelli, Lorenzo; A., NOVICK COHEN. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - STAMPA. - 1:(1999), pp. 199-216. [10.4171/IFB/9]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/102733
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 49
  • ???jsp.display-item.citation.isi??? ND
social impact