Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness

Marin-Rubio, Pedro; Planas, Gabriela; Real, Jose

Advanced search

Search - Use quotation marks to get a more specific result

Index

Field of knowledge

Start date

Betweenand

(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness

Full text
Author(s):	Marin-Rubio, Pedro ^[1] ; Planas, Gabriela ^[2] ; Real, Jose ^[1] Total Authors: 3
Affiliation:	^[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville - Spain ^[2] Univ Estadual Campinas, Dept Matemat, Inst Matemat Estatist & Computacao Cient, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Differential Equations; v. 246, n. 12, p. 4632-4652, JUN 15 2009.
Web of Science Citations:	11
Abstract
We prove the existence of weak solutions for a phase-field model with three coupled equations with unknown uniqueness, and state several dynamical systems depending on the regularity of the initial data. Then, the existence of families of global attractors (level-set depending) for the corresponding multi-valued semiflows is established, applying an energy method. Finally, using the regularizing effect of the problem, we prove that these attractors are in fact the same. (c) 2009 Elsevier Inc. All rights reserved. (AU)

Short URL