4 papers
Structure of the attractor for a non-local Chafee-Infante problem
Estefani M. Moreira, José Valero
In this article, we study the structure of the global attractor for a non-local one-dimensional quasilinear problem. The strong relation of our problem with a non-local version of…
Internet congestion control: from stochastic to dynamical models
José M. Amigó, Angel Giménez, Oscar Martínez-Bonastre +1
Since its inception, control of data congestion on the Internet has been based on stochastic models. One of the first such models was Random Early Detection. Later, this model was…
A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics
Rita de Cássia D. S. Broche, Alexandre N. Carvalho, José Valero
The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem when the parameter varies.…
Structure and regularity of the global attractor of a reaction-di§usion equation with non-smooth nonlinear term
Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero
In this paper we study the structure of the global attractor for a reaction- di§usion equation in which uniqueness of the Cauchy problem is not guarantied. We prove that the global…