Publikation:

Random attractors for stochastic partly dissipative systems

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2020

Autor:innen

Kuehn, Christian
Pein, Anne

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http://nbn-resolving.de/urn:nbn:de:bsz:352-2-6dj5pfe3j68a7
DOI (zitierfähiger Link)
https://doi.org/10.1007/s00030-020-00638-8
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CC BY 4.0

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Open Access-Veröffentlichung
Open Access Hybrid

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Mathematik und Statistik: Publikationen
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Nonlinear Differential Equations and Applications NoDEA. Birkhäuser bei Springer LINK. 2020, 27(4), 35. ISSN 1021-9722. eISSN 1420-9004. Available under: doi: 10.1007/s00030-020-00638-8

Zusammenfassung

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.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Random attractor, Partly dissipative systems, Stochastic partial differential equation, Random dynamical system

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ISO 690KUEHN, Christian, Alexandra BLESSING-NEAMTU, Anne PEIN, 2020. Random attractors for stochastic partly dissipative systems. In: Nonlinear Differential Equations and Applications NoDEA. Birkhäuser bei Springer LINK. 2020, 27(4), 35. ISSN 1021-9722. eISSN 1420-9004. Available under: doi: 10.1007/s00030-020-00638-8
BibTex
@article{Kuehn2020-08Rando-57932,
  year={2020},
  doi={10.1007/s00030-020-00638-8},
  title={Random attractors for stochastic partly dissipative systems},
  number={4},
  volume={27},
  issn={1021-9722},
  journal={Nonlinear Differential Equations and Applications NoDEA},
  author={Kuehn, Christian and Blessing-Neamtu, Alexandra and Pein, Anne},
  note={Article Number: 35}
}
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