The Complex Ginzburg{landau Equation on Large and Unbounded Domains: Sharper Bounds and Attractors
نویسنده
چکیده
Using weighted L p {norms we derive new bounds on the long{time behavior of the solutions improving on the known results of the polynomial growth with respect to the instability parameter. These estimates are valid for quite arbitrary, possibly unbounded domains. We establish precise estimates on the maximal innuence of the boundaries on the dynamics in the interior. For instance, the attractor A ` for the domain (?`; `) d with periodic boundary conditions is upper semicontinuous to A 1 .
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تاریخ انتشار 1997