71 citations · 329 across the 39 of their papers we have counts for
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math.AP2012★ 10 cited
Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces
Alexey Cheskidov, Roman Shvydkoy
We study the incompressible Navier-Stokes equations with a fractional Laplacian and prove the existence of discontinuous Leray-Hopf solutions in the largest critical space with arb…
math.AP2012
Norm Inflation for Generalized Navier-Stokes Equations
Alexey Cheskidov, Mimi Dai
We consider the incompressible Navier-Stokes equation with a fractional power of the Laplacian in the three dimensional case. We prove the existence of a smooth so…
math.AP2012★ 2 cited
Euler equations and turbulence: analytical approach to intermittency
A. Cheskidov, R. Shvydkoy
Physical models of intermittency in fully developed turbulence employ many phenomenological concepts such as active volume, region, eddy, energy accumulation set, etc, used to desc…