511 citations · 1.7k across the 69 of their papers we have counts for
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math.AP2015★ 15 cited
Finite time singularity formation for the modified SQG patch equation
Alexander Kiselev, Lenya Ryzhik, Yao Yao +1
It is well known that the incompressible Euler equations in two dimensions have globally regular solutions. The inviscid surface quasi-geostrophic (SQG) equation has a Biot-Savart…
math.AP2015
Local regularity for the modified SQG patch equation
Alexander Kiselev, Yao Yao, Andrej Zlatos
We study the patch dynamics on the whole plane and on the half-plane for a family of active scalars called modified SQG equations. These involve a parameter which appears in th…
math.AP2015★ 115 cited
Suppression of chemotactic explosion by mixing
Alexander Kiselev, Xiaoqian Xu
Chemotaxis plays a crucial role in a variety of processes in biology and ecology. In many instances, processes involving chemical attraction take place in fluids. One of the most s…