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Artículo
About the Structure of Attractors for a Nonlocal Chafee-Infante Problem
(MDPI, 2021)
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 the uniqueness of the Cauchy problem. First, we ...
Artículo
The Envelope Attractor of Non-Strict Multivalued Dynamical Systems with Application To The 3D Navier-Stokes and Reaction-Diffusion Equations
(Springer Verlag (Germany), 2013)
Multivalued semiflows generated by evolution equations without uniqueness sometimes satisfy a semigroup set inclusion rather than equality because, for example, the concatentation of solutions satisfying an energy inequality ...
Artículo
Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness
(Springer, 2015-06-17)
In this paper, we consider a non-autonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal diffusion term and the non-autonomous force. Under the assumptions imposed on the viscosity function, ...