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

Autor(es)

Marin-Rubio, Pedro ^[1] ; Planas, Gabriela ^[2] ; Real, Jose ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 246, n. 12, p. 4632-4652, JUN 15 2009.
• Citações Web of Science: 11

Resumo

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)

• Processo FAPESP: 08/50341-0 - Pedro Marín Rubio | Universidad de Sevilla - Espanha
• Beneficiário: Gabriela Del Valle Planas
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional