Sturm attractors for fully nonlinear parabolic equations
Analysis of PDEs
2022-07-07 v2 Dynamical Systems
Abstract
We explicitly construct global attractors of fully nonlinear parabolic equations. The attractors are decomposed as equilibria (time independent solutions) and heteroclinic orbits (solutions that converge to distinct equilibria backwards and forwards in time). In particular, we state necessary and sufficient conditions for the occurrence of heteroclinics between hyperbolic equilibria, which is accompanied by a method that compute such conditions.
Cite
@article{arxiv.2105.08241,
title = {Sturm attractors for fully nonlinear parabolic equations},
author = {Phillipo Lappicy},
journal= {arXiv preprint arXiv:2105.08241},
year = {2022}
}
Comments
22 pages, 10 figures. arXiv admin note: text overlap with arXiv:1805.00589