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arXiv · 1007.2012

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

Igor Kukavica·Vlad Vicol
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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.

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Igor Kukavica, Vlad Vicol. 2010-07-13. On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations. https://doi.org/10.1088/0951-7715%2F24%2F3%2F004

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