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arXiv · 1404.5904

Some remarks on the radius of spatial analyticity for the Euler equations

Marco Cappiello·Fabio Nicola
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Abstract

We consider the Euler equations on $\mathbb{T}^d$ with analytic data and prove lower bounds for the radius of spatial analyticity $ε(t)$ of the solution using a new method based on inductive estimates in standard Sobolev spaces. Our results are consistent with similar previous results proved by Kukavica and Vicol, but give a more precise dependence of $ε(t)$ on the radius of analyticity of the initial datum.

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Marco Cappiello, Fabio Nicola. 2014-04-24. Some remarks on the radius of spatial analyticity for the Euler equations. https://arxiv.org/abs/1404.5904

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