142 citations · 1.3k across the 62 of their papers we have counts for
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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…
math.AP2010★ 108 cited
Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics
Susan Friedlander, Vlad Vicol
We use De Giorgi techniques to prove Hölder continuity of weak solutions to a class of drift-diffusion equations, with initial data and divergence free drift velocity that li…