Analyticity and Gevrey-class regularity for the second-grade fluid equations
Analysis of PDEs
2015-05-14 v1 Fluid Dynamics
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 . Applications to the damped Euler equations are given.
Cite
@article{arxiv.0912.1327,
title = {Analyticity and Gevrey-class regularity for the second-grade fluid equations},
author = {Marius Paicu and Vlad Vicol},
journal= {arXiv preprint arXiv:0912.1327},
year = {2015}
}