Sturm attractors for quasilinear parabolic equations
| Autor: | Phillipo Lappicy |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems Applied Mathematics 010102 general mathematics Mathematics::Analysis of PDEs Dynamical Systems (math.DS) 01 natural sciences Parabolic partial differential equation Mathematics::Geometric Topology 010101 applied mathematics Nonlinear Sciences::Chaotic Dynamics Permutation Mathematics - Analysis of PDEs Attractor FOS: Mathematics 0101 mathematics Mathematics - Dynamical Systems Analysis Analysis of PDEs (math.AP) Mathematics |
| Popis: | The goal of this paper is to construct explicitly the global attractors of quasilinear parabolic equations, as it was done for the semilinear case by Brunovsk\'y and Fiedler (1986), and generalized by Fiedler and Rocha (1996). 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. Comment: 21 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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