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Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. (English) Zbl 1065.37056
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:
37L30Attractors and their dimensions, Lyapunov exponents
35K57Reaction-diffusion equations
35B41Attractors (PDE)
92C17Cell movement (chemotaxis, etc.)