4 papers
Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
Rubén Caballero, Pedro MarÃn-Rubio, José Valero
In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. Also, we…
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…
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…
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…