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20122025
most citedCharacterization of the attractor for nonautonomous reaction-diffusion equations with discontinuous nonlinearity

11 citations · 21 across the 4 of their papers we have counts for

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math.DS20252 cited

Chain recurrence and structure of omega-limit sets of multivalued semiflows

Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero

We study properties of !-limit sets of multivalued semiflows like chain recurrence or the existence of cyclic chains. First, we prove that under certain conditions the omega-limit…

math.DS2021

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…

math.DS2020

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…

math.DS2018

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.…

math.DS2012

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…