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.
| Author: | Dirk BlömkerORCiDGND, Wei Wang |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-10357 |
| Frontdoor URL | https://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 |
