5 citations · 5 across the 6 of their papers we have counts for
6 papers
On the robustness of pullback attractors for a nonlocal reaction-diffusion equation under perturbation
Rubén Caballero, Pedro Marín-Rubio, José Valero
A parametric family of reaction-diffusion equations with nonlocal viscosity is considered. Existence of solutions and actually of pullback attractors is known from previous works.…
On -estimates and the structure of the global attractor for weak solutions of reaction-diffusion equations
Rubén Caballero, Piotr Kalita, José Valero
In this paper, we study the structure of the global attractor for weak and regular solutions of a problem governed by a scalar semilinear reaction-diffusion equation with a non-reg…
Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
Rubén Caballero, Pedro Marín-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 Marín-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 Marín-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 Marín-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…