511 citations · 1.7k across the 69 of their papers we have counts for
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math.AP2011
A simple energy pump for the surface quasi-geostrophic equation
Alexander Kiselev, Fedor Nazarov
We consider the question of growth of high order Sobolev norms of solutions of the conservative surface quasi-geostrophic equation. We show that if is large then for every gi…
math.AP2011★ 19 cited
Global well-posedness for a slightly supercritical surface quasi-geostrophic equation
Michael Dabkowski, Alexander Kiselev, Vlad Vicol
We use a nonlocal maximum principle to prove the global existence of smooth solutions for a slightly supercritical surface quasi-geostrophic equation. By this we mean that the velo…
math.AP2011
Biomixing by chemotaxis and enhancement of biological reactions
Alexander Kiselev, Lenya Ryzhik
Many processes in biology involve both reactions and chemotaxis. However, to the best of our knowledge, the question of interaction between chemotaxis and reactions has not yet bee…