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arxiv: 1007.2012 · v1 · pith:ROSXCJMFnew · submitted 2010-07-13 · 🧮 math.AP

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

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keywords gevrey-classboundaryequationseulerregularityanalyticityboundedclass
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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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