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Research Article | Open Access

Time almost-periodic solutions of the incompressible Euler equations

Luca Franzoi, Riccardo Montalto( )
Dipartimento di Matematica "Federigo Enriques", Università degli Studi di Milano, Via Cesare Saldini 50, Milano 20133, Italy
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Abstract

We construct time almost-periodic solutions (global in time) with finite regularity to the incompressible Euler equations on the torus T d , with d = 3 and d ∈ N even.

Keywords

fluid dynamicsEuler equationsalmost-periodic solutions

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Mathematics in Engineering
Volume 6 Issue 3,
June 2024
Pages 394-406
DOI: 10.3934/mine.2024016

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Cite this article:
Franzoi L, Montalto R. Time almost-periodic solutions of the incompressible Euler equations. Mathematics in Engineering, 2024, 6(3): 394-406. https://doi.org/10.3934/mine.2024016

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Received: 11 January 2024
Revised: 13 May 2024
Accepted: 13 May 2024
Published: 23 May 2024
©2024 the Author(s), licensee AIMS Press.

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