We study dependence on a parameter of exponential attractors. As known, exponetial attractors are not uniquely determined from a dissipative dynamical system even if they exist. But we prove in this paper that one can construct an exponential attractor which depends continuously on a parameter in the dynamical system. This result is then applied to the chemotaxis-growth system.
Publié le : 2005-01-14
Classification:
dependence on a parameter,
exponential attractors,
chemotaxis-growth system,
37L25,
35K57
@article{1160745820,
author = {EFENDIEV, Messoud and YAGI, Atsushi},
title = {Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system},
journal = {J. Math. Soc. Japan},
volume = {57},
number = {4},
year = {2005},
pages = { 167-181},
language = {en},
url = {http://dml.mathdoc.fr/item/1160745820}
}
EFENDIEV, Messoud; YAGI, Atsushi. Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp. 167-181. http://gdmltest.u-ga.fr/item/1160745820/