2 citations · 2 across the 8 of their papers we have counts for
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Anomalous Dissipation at Onsager-Critical Regularity
Alexey Cheskidov, Qirui Peng
We construct solutions to the three-dimensional Euler equations exhibiting anomalous dissipation in finite time through a vanishing viscosity limit. Inspired by \cite{BDL23} and \c…
Global boundedness, absorbing sets and mass persistene in two-dimensional chemotaxis-Navier-Stokes systems with weakly singular sensitivity and sub-logistic sources
Minh Le, Alexey Cheskidov
This paper studies the following chemotaxis-fluid system in a two-dimensional bounded domain : \begin{equation*} \begin{cases} n_t + u \cdot \nabla n &= Δn - χ\nabla \cdot \left…
Instantaneous Type I blow-up and non-uniqueness of smooth solutions of the Navier-Stokes equations
Alexey Cheskidov, Mimi Dai, Stan Palasek
For any smooth, divergence-free initial data, we construct a solution of the Navier--Stokes equations that exhibits Type~I blow-up of the norm at time , while rem…
Global well-posedness of the Navier-Stokes equations for small initial data in frequency localized Koch-Tataru's space
Alexey Cheskidov, Taichi Eguchi
We construct global smooth solutions to the incompressible Navier--Stokes equations in for initial data in satisfying some smallness condition. The high-freque…