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Regularization by Noise of an Averaged Version of the Navier–Stokes Equations

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Bibliographic Details
Main Author: Theresa, Lange
Format: Book
Language:English
Published: Springer 2023
Subjects:
3D NSE
ill-behaved deterministic PDEs
Online Access:https://link.springer.com/article/10.1007/s10884-023-10255-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7499
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spelling oai:localhost:PNK-74992023-04-04T07:47:52Z Regularization by Noise of an Averaged Version of the Navier–Stokes Equations Theresa, Lange 3D NSE ill-behaved deterministic PDEs CC BY In Tao 2016, the author constructs an averaged version of the deterministic three-dimensional Navier–Stokes equations (3D NSE) which experiences blow-up in finite time. In the last decades, various works have studied suitable perturbations of ill-behaved deterministic PDEs in order to prevent or delay such behavior. A promising example is given by a particular choice of stochastic transport noise closely studied in Flandoli et al. 2021. We analyze the model in Tao 2016 in view of these results and discuss the regularization skills of this noise in the context of the averaged 3D NSE. 2023-04-04T07:47:52Z 2023-04-04T07:47:52Z 2023 Book https://link.springer.com/article/10.1007/s10884-023-10255-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7499 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic 3D NSE
ill-behaved deterministic PDEs
spellingShingle 3D NSE
ill-behaved deterministic PDEs
Theresa, Lange
Regularization by Noise of an Averaged Version of the Navier–Stokes Equations
description CC BY
format Book
author Theresa, Lange
author_facet Theresa, Lange
author_sort Theresa, Lange
title Regularization by Noise of an Averaged Version of the Navier–Stokes Equations
title_short Regularization by Noise of an Averaged Version of the Navier–Stokes Equations
title_full Regularization by Noise of an Averaged Version of the Navier–Stokes Equations
title_fullStr Regularization by Noise of an Averaged Version of the Navier–Stokes Equations
title_full_unstemmed Regularization by Noise of an Averaged Version of the Navier–Stokes Equations
title_sort regularization by noise of an averaged version of the navier–stokes equations
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10884-023-10255-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7499
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score 8.887836

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