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math.AP2010★ 46 cited
On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations
Igor Kukavica, Vlad Vicol
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 b…
math.AP2010
The Domain of Analyticity of Solutions to the Three-Dimensional Euler Equations in a Half Space
Igor Kukavica, Vlad Vicol
We address the problem of analyticity up to the boundary of solutions to the Euler equations in the half space. We characterize the rate of decay of the real-analyticity radius of…