Ciência computacional de materiais aplicada à seleção de materiais
Equações diferenciais com derivadas fracionárias e suas aplicações
Interdifusão em aluminetos de V e determinação de grandezas cinéticas
| Texto completo | |
| Autor(es): |
Marin-Rubio, Pedro
;
Planas, Gabriela
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 13, n. 4, p. 16-pg., 2012-08-01. |
| Resumo | |
In this paper, the existence of weak solutions is established for a phase-field model of thermal alloys supplemented with Dirichlet boundary conditions. After that, the existence of global attractors for the associated multi-valued dynamical systems is proved, and the relationship among these sets is established. Finally, we provide a more detailed description of the asymptotic behaviour of solutions via the omega-limit sets. Namely, we obtain a characterization - through the natural stationary system associated to the model - of the elements belonging to the omega-limit sets under suitable assumptions. (C) 2011 Elsevier Ltd. All rights reserved. (AU) | |
| Processo FAPESP: | 08/09342-3 - Análise matemática de modelos do tipo campo de fase |
| Beneficiário: | Gabriela Del Valle Planas |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |