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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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math.AP2019★ 1 cited

Anomalous dissipation, anomalous work, and energy balance for smooth solutions of the Navier-Stokes equations

Alexey Cheskidov, Xiaoyutao Luo

In this paper, we study the energy balance for a class of solutions of the Navier-Stokes equations with external forces in dimensions three and above. The solution and force are sm…

math.AP2019★ 13 cited

Stationary and discontinuous weak solutions of the Navier-Stokes equations

Alexey Cheskidov, Xiaoyutao Luo

We prove that there exists a nontrivial finite energy periodic stationary weak solution to the 3D Navier-Stokes equations (NSE). The construction relies on a convex integration sch…