On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations

Abstract

We consider the Euler equations in a three-dimensional Gevrey-class bounded domain. Using Lagrangian coordinates we obtain the Gevrey-class persistence of the solution, up to the boundary, with an explicit estimate on the rate of decay of the Gevrey-class regularity radius.

References in corpus (1)

• Complex-space singularities of 2D Euler flow in Lagrangian coordinates

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