Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity

  • The qualitative properties of local random invariant manifolds for stochastic partial differential equations with quadratic nonlinearities and multiplicative noise is studied by a cut off technique. By detailed estimates on the Perron fixed point equation describing the local random invariant manifold, the structure near a bifurcation is given.

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Metadaten
Author:Dirk BlömkerORCiDGND, Wei Wang
URN:urn:nbn:de:bvb:384-opus4-10357
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/1207
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2008-33)
Type:Preprint
Language:English
Year of first Publication:2008
Publishing Institution:Universität Augsburg
Contributing Corporation:Robert-Bosch-Siftung, University of Adelaide, Nanjing University
Release Date:2008/12/02
Tag:random dynamical systems; random invariant manifolds; stochastic partial differential equation; Burgers-type equation
GND-Keyword:Stochastische partielle Differentialgleichung; Zufälliges dynamisches System; Invariante Mannigfaltigkeit
Note:
Erschienen in Journal of Dynamics and Differential Equations, 22, 4, S. 677-695, https://doi.org/10.1007/s10884-009-9145-6
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik