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research article

Quantitative convergence rates for scaling limit of SPDEs with transport noise

Flandoli, Franco
•
Galeati, Lucio  
•
Luo, Dejun
June 15, 2024
Journal Of Differential Equations

We consider on the torus the scaling limit of stochastic 2D (inviscid) fluid dynamics equations with transport noise to deterministic viscous equations. Quantitative estimates on the convergence rates are provided by combining analytic and probabilistic arguments, especially heat kernel properties and maximal estimates for stochastic convolutions. Similar ideas are applied to the stochastic 2D Keller -Segel model, yielding explicit choice of noise to ensure that the blow-up probability is less than any given threshold. Our approach also gives rise to some mixing property for stochastic linear transport equations and dissipation enhancement in the viscous case. (c) 2024 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY -NC license (http://creativecommons .org /licenses /by -nc /4 .0/).

  • Details
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Type
research article
DOI
10.1016/j.jde.2024.02.053
Web of Science ID

WOS:001220804500001

Author(s)
Flandoli, Franco
Galeati, Lucio  
Luo, Dejun
Date Issued

2024-06-15

Publisher

Academic Press Inc Elsevier Science

Published in
Journal Of Differential Equations
Volume

394

Start page

237

End page

277

Subjects

Physical Sciences

•

Transport Noise

•

Scaling Limit

•

Convergence Rate

•

Mixing

•

Dissipation Enhancement

•

Stochastic Convolution

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
AMCV  
FunderGrant Number

European Union (ERC)

101053472

DFG

MB22.00034

Swiss State Secretariat for Education, Research and Innovation (SERI)

2020YFA0712700

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Available on Infoscience
June 5, 2024
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/208332
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