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- W1994682263 abstract "In this paper we will introduce a version of exponential attractor for non-autonomous equations as a time dependent set with uniformly bounded finite fractal dimension which is positively invariant and attracts every bounded set at an exponential rate. This is a natural generalization of the existent notion for autonomous equations. A generation theorem will be proved under the assumption that the evolution operator is a compact perturbation of a contraction. In the second half of the paper, these results will be applied to some non-autonomous chemotaxis system." @default.
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- W1994682263 date "2011-04-01" @default.
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- W1994682263 title "Exponential attractors for non-autonomous dissipative system" @default.
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- W1994682263 doi "https://doi.org/10.2969/jmsj/06320647" @default.
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