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Asymptotic behaviour of time-dependent Ginzburg-Landau equations of superconductivity

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1999-12
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W. Spröβig
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In this paper, we establish the global fast dynamics for the time-dependent Ginzburg-Landau equations of superconductivity. We show the squeezing property and the existence of finite-dimensional exponential attractors for the system. In addition we prove the existence of the global attractor in L-2 x L-2 for the Ginzburg-Landau equations in two spatial dimensions.
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