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arXiv · 0912.1327

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

Marius Paicu·Vlad Vicol
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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 $t\to \infty$. Applications to the damped Euler equations are given.

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Marius Paicu, Vlad Vicol. 2009-12-07. Analyticity and Gevrey-class regularity for the second-grade fluid equations. https://doi.org/10.1007/s00021-010-0032-z

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