71 citations · 329 across the 39 of their papers we have counts for
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math.AP2022★ 6 cited
Dyadic models for fluid equations: a survey
Alexey Cheskidov, Mimi Dai, Susan Friedlander
Over the centuries mathematicians have been challenged by the partial differential equations (PDEs) that describe the motion of fluids in many physical contexts. Important and beau…
math.AP2022★ 1 cited
Extreme temporal intermittency in the linear Sobolev transport: almost smooth nonunique solutions
Alexey Cheskidov, Xiaoyutao Luo
In this paper, we revisit the notion of temporal intermittency to obtain sharp nonuniqueness results for linear transport equations. We construct divergence-free vector fields with…
math.AP2022★ 9 cited
Volumetric theory of intermittency in fully developed turbulence
Alexey Cheskidov, Roman Shvydkoy
This study introduces a new family of volumetric flatness factors which give a rigorous parametric description of the phenomenon of intermittency in fully developed turbulent flows…