Asymptotic compactness of stochastic complex Ginzburg-Landau equation on an unbounded domain

  • The Ginzburg-Landau-type complex equations are simplified mathematical models for various pattern formation systems in mechanics, physics, and chemistry. In this paper, we show that the complex Ginzburg-Landau equations on the whole real line perturbed by an additive space-time white noise generates an asymptotically compact stochastic or random dynamical system in weighted L2-spaces.

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Author:Dirk BlömkerORCiDGND, Yongqian Han
Frontdoor URL
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2009-33)
Year of first Publication:2009
Publishing Institution:Universität Augsburg
Contributing Corporation:Bosch Stiftung, IACPM Beijing
Release Date:2010/01/15
Tag:Nichtlineare partielle Differentialgleichung; Stochastische partielle Differentialgleichung
complex Ginzburg-Landau equation; unbounded domain; stochastic attractor; asymptotic compactness; translation-invariant noise
GND-Keyword:Ginzburg-Landau-Gleichung; Stochastisches dynamisches System; Zufälliges dynamisches System; Musterbildung
Erschienen in Stochastics and Dynamics, 10, 4, S. 613-636,
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):Deutsches Urheberrecht