Global well-posedness of the Navier–Stokes-omega equations

Jishan Fan; Yong Zhou

doi:10.1016/j.aml.2011.05.018

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Global well-posedness of the Navier–Stokes-omega equations

Journal article

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Peer reviewed

Global well-posedness of the Navier–Stokes-omega equations

Jishan Fan and Yong Zhou

Applied mathematics letters, Vol.24(11), pp.1915-1918

01/11/2011

DOI: https://doi.org/10.1016/j.aml.2011.05.018

Abstract

Global well-posedness

Navier–Stokes-omega

Turbulence model

First, we prove that the local solution to the Navier–Stokes-omega equations is unique when the spatial dimension n satisfies 3 ≤ n ≤ 6 . Then, a regularity criterion is established for any n ≥ 3 . As a corollary, it is proved that the smooth solution exists globally when 3 ≤ n ≤ 6 .

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Title: Global well-posedness of the Navier–Stokes-omega equations
Creators - without role: Jishan Fan - Nanjing Forestry University
Yong Zhou - Zhejiang Normal University
Publication Details: Applied mathematics letters, Vol.24(11), pp.1915-1918
Publisher: Elsevier Ltd
Identifiers: 9937850708331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article