Partly dissipative systems in uniformly local spaces

Alexandre N. Carvalho, and Tomasz Dlotko. "Partly dissipative systems in uniformly local spaces." Colloquium Mathematicae 100.2 (2004): 221-242. <http://eudml.org/doc/283909>.

@article{AlexandreN2004,
abstract = {We study the existence of attractors for partly dissipative systems in ℝⁿ. For these systems we prove the existence of global attractors with attraction properties and compactness in a slightly weaker topology than the topology of the phase space. We obtain abstract results extending the usual theory to encompass such two-topologies attractors. These results are applied to the FitzHugh-Nagumo equations in ℝⁿ and to Field-Noyes equations in ℝ. Some embeddings between uniformly local spaces are also proved.},
author = {Alexandre N. Carvalho, Tomasz Dlotko},
journal = {Colloquium Mathematicae},
keywords = {uniformly local Sobolev spaces; global attractors},
language = {eng},
number = {2},
pages = {221-242},
title = {Partly dissipative systems in uniformly local spaces},
url = {http://eudml.org/doc/283909},
volume = {100},
year = {2004},
}

TY - JOUR
AU - Alexandre N. Carvalho
AU - Tomasz Dlotko
TI - Partly dissipative systems in uniformly local spaces
JO - Colloquium Mathematicae
PY - 2004
VL - 100
IS - 2
SP - 221
EP - 242
AB - We study the existence of attractors for partly dissipative systems in ℝⁿ. For these systems we prove the existence of global attractors with attraction properties and compactness in a slightly weaker topology than the topology of the phase space. We obtain abstract results extending the usual theory to encompass such two-topologies attractors. These results are applied to the FitzHugh-Nagumo equations in ℝⁿ and to Field-Noyes equations in ℝ. Some embeddings between uniformly local spaces are also proved.
LA - eng
KW - uniformly local Sobolev spaces; global attractors
UR - http://eudml.org/doc/283909
ER -