# Analyticity and Gevrey-class regularity for the second-grade fluid equations

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1 LM-Orsay - Laboratoire de Mathématiques d-Orsay 2 USC - Department of Mathematics

Abstract : We address the global persistence of analyticity and Gevrey-class regularity of solutions to the two and three-dimensional visco-elastic second-grade fluid equations. We obtain an explicit novel lower bound on the radius of analyticity of the solutions to the second-grade fluid equations that does not vanish as $t ightarrow \infty$. Applications to the damped Euler equations are given.

Autor: Marius Paicu - Vlad Vicol -

Fuente: https://hal.archives-ouvertes.fr/

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