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

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

2009-12-07

arxiv.org/abs/0912.1327v1

Mathematics

Analysis of PDEs

Scientific paper

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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