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Auteurs principaux: Cheskidov, Alexey, Peng, Qirui
Format: Preprint
Publié: 2024
Sujets:
Accès en ligne:https://arxiv.org/abs/2407.06474
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author Cheskidov, Alexey
Peng, Qirui
author_facet Cheskidov, Alexey
Peng, Qirui
contents We introduce a determining wavenumber for weak solutions of 3D Navier-Stokes equations whose time average is bounded by Kolmogorov dissipation wavenumber over the whole range of intermittency dimensions. This improves previous works by Cheskidov, Dai and Kavlie in 2018 and that by Cheskidov and Dai in 2019.
format Preprint
id arxiv_https___arxiv_org_abs_2407_06474
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An optimal upper bound on the determining wavenumber for 3D Navier-Stokes Equations
Cheskidov, Alexey
Peng, Qirui
Analysis of PDEs
We introduce a determining wavenumber for weak solutions of 3D Navier-Stokes equations whose time average is bounded by Kolmogorov dissipation wavenumber over the whole range of intermittency dimensions. This improves previous works by Cheskidov, Dai and Kavlie in 2018 and that by Cheskidov and Dai in 2019.
title An optimal upper bound on the determining wavenumber for 3D Navier-Stokes Equations
topic Analysis of PDEs
url https://arxiv.org/abs/2407.06474