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Stochastic model reduction : convergence and applications to climate equations
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Assing, Sigurd, Flandoli, Franco and Pappalettera, Umberto (2021) Stochastic model reduction : convergence and applications to climate equations. Journal of Evolution Equations . doi:10.1007/s00028-021-00708-z ISSN 1424-3199.
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Official URL: http://dx.doi.org/10.1007/s00028-021-00708-z
Abstract
We study stochastic model reduction for evolution equations in infinite-dimensional Hilbert spaces and show the convergence to the reduced equations via abstract results of Wong–Zakai type for stochastic equations driven by a scaled Ornstein–Uhlenbeck process. Both weak and strong convergence are investigated, depending on the presence of quadratic interactions between reduced variables and driving noise. Finally, we are able to apply our results to a class of equations used in climate modeling.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||
Library of Congress Subject Headings (LCSH): | Stochastic models , Stochastic partial differential equations, Approximation theory , Ornstein-Uhlenbeck process | ||||||
Journal or Publication Title: | Journal of Evolution Equations | ||||||
Publisher: | Springer | ||||||
ISSN: | 1424-3199 | ||||||
Official Date: | 2 May 2021 | ||||||
Dates: |
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DOI: | 10.1007/s00028-021-00708-z | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 20 July 2021 | ||||||
Date of first compliant Open Access: | 21 July 2021 |
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