A necessary and sufficient condition for the existence of an exponential attractor |
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| Authors: | Dalibor Pra?ák |
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| Institution: | (1) Dept. Math. Analysis, Charles University, Prague, Sokolovská 83, 186 75 Praha 8, Czech Republic |
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| Abstract: | We give a necessary and sufficient condition for the existence of an exponential attractor. The condition is formulated in
the context of metric spaces. It also captures the quantitative properties of the attractor, i.e., the dimension and the rate
of attraction. As an application, we show that the evolution operator for the wave equation with nonlinear damping has an
exponential attractor. |
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| Keywords: | global attractor exponential attractor fractal dimension wave equation nonlinear damping |
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