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

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.

References in corpus (1)

• On the convergence rate of the Euler-$\alpha$, an inviscid second-grade complex fluid, model to the Euler equations

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