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Zbl 1065.37056
Efendiev, Messoud; Yagi, Atsushi
Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. (English)
[J] J. Math. Soc. Japan 57, No. 1, 167-181 (2005). ISSN 0025-5645; ISSN 1881-1167; ISSN 1881-2333/e

Summary: We study the dependence on a parameter of exponential attractors. As known, exponential 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.

MSC 2000:: *37L30 Attractors and their dimensions
35K57 Reaction-diffusion equations
35B41 Attractors
92C17 Cell movement

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