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

Marius Paicu (1) , Vlad Vicol (2)

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

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 $t\rightarrow \infty$. Applications to the damped Euler equations are given.

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Marius Paicu, Vlad Vicol. Analyticity and Gevrey-class regularity for the second-grade fluid equations. 2009. ⟨hal-00439305⟩