511 citations · 1.7k across the 69 of their papers we have counts for
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math.AP2009★ 2 cited
A variation on a theme of Caffarelli and Vasseur
Alexander Kiselev, Fedor Nazarov
Recently, using DiGiorgi-type techniques, Caffarelli and Vasseur showed that a certain class of weak solutions to the drift diffusion equation with initial data in gain Hölde…
math.AP2009★ 45 cited
Global Regularity for the Critical Dispersive Dissipative Surface Quasi-Geostrophic Equation
Alexander Kiselev, Fedor Nazarov
We consider surface quasi-geostrophic equation with dispersive forcing and critical dissipation. We prove global existence of smooth solutions given sufficiently smooth initial dat…
math.AP2009★ 2 cited
The explosion problem in a flow
Henri Berestycki, Alexander Kiselev, Alexei Novikov +1
We consider the explosion problem in an incompressible flow introduced in the paper of H. Berestycki, L. Kagan, G. Joulin and G. Sivashinsky. We use a novel estimate…