5 papers · 1 filter
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…
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…
Attractors for weak and strong solutions of the three-dimensional Navier-Stokes equations with damping
Daniel Pardo, José Valero, Ãngel Giménez
In this paper we obtain the existence of global attractors for the dynamical systems generated by weak solution of the three-dimensional Navier-Stokes equations with damping. We co…
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
Jiaohui Xu, Tomás Caraballo, José Valero
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated b…
Characterization of the attractor for nonautonomous reaction-diffusion equations with discontinuous nonlinearity
José Valero
In this paper, we study the asymptotic behavior of the solutions of a nonautonomous differential inclusion modeling a reaction-diffusion equation with a discontinuous nonlinearity.…