Time almost-periodic solutions of the incompressible Euler equations

Luca Franzoi; Riccardo Montalto; Luca Franzoi; Riccardo Montalto

doi:10.3934/mine.2024016

Mathematics in Engineering

2024, Volume 6, Issue 3: 394-406. doi: 10.3934/mine.2024016

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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

Received: 11 January 2024 Revised: 13 May 2024 Accepted: 13 May 2024 Published: 23 May 2024

We construct time almost-periodic solutions (global in time) with finite regularity to the incompressible Euler equations on the torus $ \mathbb{T}^d $, with $ d = 3 $ and $ d\in\mathbb{N} $ even.
- fluid dynamics,
- Euler equations,
- almost-periodic solutions
Citation: Luca Franzoi, Riccardo Montalto. Time almost-periodic solutions of the incompressible Euler equations[J]. Mathematics in Engineering, 2024, 6(3): 394-406. doi: 10.3934/mine.2024016

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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 $ \mathbb{T}^d $, with $ d = 3 $ and $ d\in\mathbb{N} $ even.

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