Journal of the Mathematical Society of Japan

Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system

Messoud EFENDIEV and Atsushi YAGI

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Abstract

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.

Article information

Source
J. Math. Soc. Japan Volume 57, Number 1 (2005), 167-181.

Dates
First available: 13 October 2006

Permanent link to this document
http://projecteuclid.org/euclid.jmsj/1160745820

Digital Object Identifier
doi:10.2969/jmsj/1160745820

Mathematical Reviews number (MathSciNet)
MR2114727

Zentralblatt MATH identifier
1065.37056

Subjects
Primary: 37L25: Inertial manifolds and other invariant attracting sets
Secondary: 35K57: Reaction-diffusion equations

Keywords
dependence on a parameter exponential attractors chemotaxis-growth system

Citation

EFENDIEV, Messoud; YAGI, Atsushi. Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. Journal of the Mathematical Society of Japan 57 (2005), no. 1, 167--181. doi:10.2969/jmsj/1160745820. http://projecteuclid.org/euclid.jmsj/1160745820.


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