71 citations · 278 across the 57 of their papers we have counts for
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math.AP2015★ 6 cited
The van Dommelen and Shen singularity in the Prandtl equations
Igor Kukavica, Vlad Vicol, Fei Wang
In 1980, van Dommelen and Shen provided a numerical simulation that predicts the spontaneous generation of a singularity in the Prandtl boundary layer equations from a smooth initi…
math.AP2015★ 15 cited
An anisotropic partial regularity criterion for the Navier-Stokes equations
I. Kukavica, W. Rusin, M. Ziane
In this paper, we address the partial regularity of suitable weak solutions of the incompressible Navier--Stokes equations. We prove an interior regularity criterion involving only…
math.AP2015★ 12 cited
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations
Peter Constantin, Igor Kukavica, Vlad Vicol
We consider the incompressible Euler equations on , where . We prove that: (a) In Lagrangian coordinates the equations are locally well-posed in spa…