Sturm Attractors for Quasilinear Parabolic Equations with Singular Coefficients
| Autor: | Phillipo Lappicy |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Mathematics::Dynamical Systems
Partial differential equation 010102 general mathematics Singular term Boundary (topology) Dynamical Systems (math.DS) 01 natural sciences Parabolic partial differential equation 010101 applied mathematics Permutation Mathematics - Analysis of PDEs Ordinary differential equation Attractor FOS: Mathematics Applied mathematics Mathematics - Dynamical Systems 0101 mathematics Diffusion (business) Analysis ATRATORES Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| ISSN: | 1572-9222 1040-7294 |
| DOI: | 10.1007/s10884-018-9720-9 |
| Popis: | The goal of this paper is to construct explicitly the global attractors of parabolic equations with singular diffusion coefficients on the boundary, as it was done without the singular term for the semilinear case by Brunovsk'y and Fiedler (1986), generalized by Fiedler and Rocha (1996) and later for quasilinear equa- tions by the author (2017). In particular, we construct heteroclinic connections between hyperbolic equilibria, stating necessary and sufficient conditions for heteroclinics to occur. Such conditions can be computed through a permutation of the equilibria. Lastly, an example is computed yielding the well known Chafee-Infante attractor. 39 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1805.00589 |
| Databáze: | OpenAIRE |
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