A. Cheskidov

activity

20062025

most citedSharp nonuniqueness for the Navier-Stokes equations

71 citations · 329 across the 39 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.AP2020★ 71 cited

Sharp nonuniqueness for the Navier-Stokes equations

Alexey Cheskidov, Xiaoyutao Luo

In this paper, we prove a sharp nonuniqueness result for the incompressible Navier-Stokes equations in the periodic setting. In any dimension $d \geq 2$ and given any $p < 2$ , we sh…

math.AP2020★ 3 cited

Nonuniqueness of weak solutions for the transport equation at critical space regularity

Alexey Cheskidov, Xiaoyutao Luo

We consider the linear transport equations driven by an incompressible flow in dimensions $d \geq 3$ . For divergence-free vector fields $u \in L_{t}^{1} W^{1, q}$ , the celebrated DiPerna…