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LDP and CLT for SPDEs with transport noise

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Bibliographic Details
Main Authors: Lucio, Galeati, Dejun, Luo
Format: Book
Language:English
Published: Springer 2023
Subjects:
corresponding deterministic PDE
dimension D≥2 and 2D Euler equations
Online Access:https://link.springer.com/article/10.1007/s40072-023-00292-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7493
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spelling oai:localhost:PNK-74932023-04-04T07:21:10Z LDP and CLT for SPDEs with transport noise Lucio, Galeati Dejun, Luo corresponding deterministic PDE dimension D≥2 and 2D Euler equations CC BY In this work we consider solutions to stochastic partial differential equations with transport noise, which are known to converge, in a suitable scaling limit, to solution of the corresponding deterministic PDE with an additional viscosity term. Large deviations and Gaussian fluctuations underlying such scaling limit are investigated in two cases of interest: stochastic linear transport equations in dimension D≥2 and 2D Euler equations in vorticity form. In both cases, a central limit theorem with strong convergence and explicit rate is established. The proofs rely on nontrivial tools, like the solvability of transport equations with supercritical coefficients and Γ-convergence arguments. 2023-04-04T07:21:10Z 2023-04-04T07:21:10Z 2023 Book https://link.springer.com/article/10.1007/s40072-023-00292-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7493 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic corresponding deterministic PDE
dimension D≥2 and 2D Euler equations
spellingShingle corresponding deterministic PDE
dimension D≥2 and 2D Euler equations
Lucio, Galeati
Dejun, Luo
LDP and CLT for SPDEs with transport noise
description CC BY
format Book
author Lucio, Galeati
Dejun, Luo
author_facet Lucio, Galeati
Dejun, Luo
author_sort Lucio, Galeati
title LDP and CLT for SPDEs with transport noise
title_short LDP and CLT for SPDEs with transport noise
title_full LDP and CLT for SPDEs with transport noise
title_fullStr LDP and CLT for SPDEs with transport noise
title_full_unstemmed LDP and CLT for SPDEs with transport noise
title_sort ldp and clt for spdes with transport noise
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s40072-023-00292-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7493
_version_ 1762274899683966976
score 8.891145

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