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Research Article | Open Access

A note on 2D Navier-Stokes system in a bounded domain

Jishan Fan1, Tohru Ozawa2( )
Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
Department of Applied Physics, Waseda University, Tokyo, 169-8555, Japan
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Abstract

This paper poses a new question and proves a related result. Particularly, the nonexistence of a nontrivial time-periodic solution to the Navier–Stokes system is proved in a bounded domain in R2.

Keywords

time-periodic2D Navier–Stokes flowopen problemstationary solutionvector Poincaré inequality
CLC number: 35Q30, 76D03, 76D05

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 24908-24911
DOI: 10.3934/math.20241213

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Fan J, Ozawa T. A note on 2D Navier-Stokes system in a bounded domain. AIMS Mathematics, 2024, 9(9): 24908-24911. https://doi.org/10.3934/math.20241213

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Received: 05 July 2024
Revised: 13 August 2024
Accepted: 14 August 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)