71 citations · 329 across the 39 of their papers we have counts for
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math.AP2014★ 11 cited
Degenerate pullback attractors for the 3D Navier-Stokes equations
Alexey Cheskidov, Landon Kavlie
As in our previous paper, the 3D Navier-Stokes equations with a translationally bounded force contain pullback attractors in a weak sense. Moreover, those attractors consist of com…
math.AP2014★ 12 cited
The existence of a global attractor for the forced critical surface quasi-geostrophic equation in
Alexey Cheskidov, Mimi Dai
We prove that the critical surface quasi-geostrophic equation driven by a force possesses a compact global attractor in provided for…
math.AP2014★ 11 cited
Norm inflation for generalized magneto-hydrodynamic system
Alexey Cheskidov, Mimi Dai
We consider the three-dimensional incompressible magneto-hydrodynamic system with fractional powers of the Laplacian. We discover a wide range of spaces where the norm inflation oc…