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On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations
2011
Nonlinearity
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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.
doi:10.1088/0951-7715/24/3/004
fatcat:cmi5ckhutndhlbziwc2nkoe4si