3 papers
math.AP2026
Inertial manifolds for the nonlocal parabolic problem
Xiaoqing Yang, Alexandre N. Carvalho, Chunyou Sun
This paper provides an abstract framework for studying inertial manifolds associated with a class of nonlocal parabolic problems. In particular, by suitably modifying the nonlocal…
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.AP2025
Robustness of dynamically gradient multivalued dynamical systems
Rubén Caballero, Alexandre N. Carvalho, Pedro MarÃn-Rubio +1
In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems…