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math.DS2026
About the structure of attractors for a nonlocal Chafee-Infante problem
Rubén Caballero, Alexandre Nolasco Carvalho, Pedro MarÃn-Rubio +1
In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee uniquene…
math.DS2026
Existence and characterization of attractors for a nonlocal reaction-diffusion equation having an energy functional
Rubén Caballero, Pedro MarÃn-Rubio, José Valero
In this paper we study a nonlocal reaction-diffusion equation in which the diffusion depends on the gradient of the solution. We prove first the existence and uniqueness of regular…
math.DS2025
Chain recurrence and structure of omega-limit sets of multivalued semiflows
Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero
We study properties of !-limit sets of multivalued semiflows like chain recurrence or the existence of cyclic chains. First, we prove that under certain conditions the omega-limit…