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Article type: Research Article
Authors: Cappiello, Marco; | Nicola, Fabio
Affiliations: Dipartimento di Matematica, Università degli Studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy. E-mail: marco.cappiello@unito.it | Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino, Italy. E-mail: fabio.nicola@polito.it
Note: [] Corresponding author. E-mail: marco.cappiello@unito.it
Abstract: We consider the Euler equations on Td 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.
Keywords: Euler equations, radius of analyticity
DOI: 10.3233/ASY-141260
Journal: Asymptotic Analysis, vol. 91, no. 2, pp. 103-110, 2015
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