Random attractors for stochastic partly dissipative systems
| Type of Publication: | Journal article |
| Publication status: | Published |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-6dj5pfe3j68a7 |
| Author: | Kuehn, Christian; Neamtu, Alexandra Aurelia; Pein, Anne |
| Year of publication: | 2020 |
| Published in: | Nonlinear Differential Equations and Applications NoDEA ; 27 (2020), 4. - 35. - Birkhäuser bei Springer LINK. - ISSN 1021-9722. - eISSN 1420-9004 |
| DOI (citable link): | https://dx.doi.org/10.1007/s00030-020-00638-8 |
| Summary: |
We prove the existence of a global random attractor for a certain class of stochastic partly dissipative systems. These systems consist of a partial and an ordinary differential equation, where both equations are coupled and perturbed by additive white noise. The deterministic counterpart of such systems and their long-time behaviour have already been considered but there is no theory that deals with the stochastic version of partly dissipative systems in their full generality. We also provide several examples for the application of the theory.
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| Subject (DDC): | 510 Mathematics |
| Keywords: | Random attractor, Partly dissipative systems, Stochastic partial differential equation, Random dynamical system |
| Link to License: | Attribution 4.0 International |
| Refereed: | Unknown |
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KUEHN, Christian, Alexandra Aurelia NEAMTU, Anne PEIN, 2020. Random attractors for stochastic partly dissipative systems. In: Nonlinear Differential Equations and Applications NoDEA. Birkhäuser bei Springer LINK. 27(4), 35. ISSN 1021-9722. eISSN 1420-9004. Available under: doi: 10.1007/s00030-020-00638-8
@article{Kuehn2020-08Rando-57932, title={Random attractors for stochastic partly dissipative systems}, year={2020}, doi={10.1007/s00030-020-00638-8}, number={4}, volume={27}, issn={1021-9722}, journal={Nonlinear Differential Equations and Applications NoDEA}, author={Kuehn, Christian and Neamtu, Alexandra Aurelia and Pein, Anne}, note={Article Number: 35} }
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