511 citations · 1.7k across the 69 of their papers we have counts for
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math.AP2013★ 50 cited
Finite time blow up for a 1D model of 2D Boussinesq system
Kyudong Choi, Alexander Kiselev, Yao Yao
The 2D conservative Boussinesq system describes inviscid, incompressible, buoyant fluid flow in gravity field. The possibility of finite time blow up for solutions of this system i…
math.AP2013
Small scale creation for solutions of the incompressible two dimensional Euler equation
Alexander Kiselev, Vladimir Sverak
We construct an initial data for two-dimensional Euler equation in a disk for which the gradient of vorticity exhibits double exponential growth in time for all times. This estimat…
math.AP2013★ 84 cited
Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows
Gautam Iyer, Alexander Kiselev, Xiaoqian Xu
Consider a diffusion-free passive scalar being mixed by an incompressible flow on the torus . Our aim is to study how well this scalar can be mixed under an e…