[Une condition suffisante pour l'existence de variétés inertielles approchées contenant l'attracteur global]
Utilisant le récent concept de variété inertielle avec retard, nous présentons une nouvelle méthode de construction de variétés inertielles approchées. Dans le cas où l'attracteur global peut être plongé dans une variété C2 de dimension finie, nous construisons une variété inertielle approchée de la même dimension contenant l'attracteur.
Using the recently introduced concept of inertial manifold with delay we present a new method of construction of approximate inertial manifolds (AIMs). In the case when the global attractor can be embedded into a finite-dimensional C2-manifold we construct AIMs of the same dimension which contain the attractor.
Révisé le :
Publié le :
Alexander Rezounenko 1
@article{CRMATH_2002__334_11_1015_0,
author = {Alexander Rezounenko},
title = {A sufficient condition for the existence of approximate inertial manifolds containing the global attractor},
journal = {Comptes Rendus. Math\'ematique},
pages = {1015--1020},
publisher = {Elsevier},
volume = {334},
number = {11},
year = {2002},
doi = {10.1016/S1631-073X(02)02385-3},
language = {en},
}
TY - JOUR AU - Alexander Rezounenko TI - A sufficient condition for the existence of approximate inertial manifolds containing the global attractor JO - Comptes Rendus. Mathématique PY - 2002 SP - 1015 EP - 1020 VL - 334 IS - 11 PB - Elsevier DO - 10.1016/S1631-073X(02)02385-3 LA - en ID - CRMATH_2002__334_11_1015_0 ER -
Alexander Rezounenko. A sufficient condition for the existence of approximate inertial manifolds containing the global attractor. Comptes Rendus. Mathématique, Volume 334 (2002) no. 11, pp. 1015-1020. doi : 10.1016/S1631-073X(02)02385-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02385-3/
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☆ For my parents Vyacheslav and Larisa.
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