| Author(s): |
Aragao-Costa, Eder R.
[1]
;
Carvalho, Alexandre N.
[1]
;
Marin-Rubio, Pedro
[2]
;
Planas, Gabriela
[3]
Total Authors: 4
|
| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville - Spain
[3] Univ Estadual Campinas, Dept Matemat, Inst Matemat Estat & Computacao Cient, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 42, n. 2, p. 345-376, DEC 2013. |
| Web of Science Citations: | 1 |
| Abstract | |
We consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system satisfies that the solutions comes from -infinity and goes to infinity to equilibrium points, and where the coupled part generates asymptotically a gradient-like nonlinear semigroup. Then, the complete model is proved to be also gradient-like. The interest of this extension comes, for instance, in models where a continuum of equilibrium points holds, and for example a Lojasiewicz-Simon condition is satisfied. Indeed, we illustrate the usefulness of the theory with several examples. (AU) | |
| FAPESP's process: | 08/09342-3 - Mathematical analysis for phase-field models |
| Grantee: | Gabriela Del Valle Planas |
| Support Opportunities: | Regular Research Grants |