The effect of intermittency on regularity properties of the solutions to the Navier-Stokes equations

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• Alexey Cheskidov (University of Illinois at Chicago, Institute for Advanced Study, Princeton)
• Wednesday 16 February 2022, 14:30-15:30
• Seminar Room 1, Newton Institute.

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TURW02 - Rigorous analysis of incompressible fluid models and turbulence

In this talk I will discuss the notion of intermittency in fluids. Eddies do not occupy the whole space in intermittent turbulent flows, which leads to a more efficient energy cascade mechanism. Hence, highly intermittent solutions of the Navier-Stokes equations can potentially exhibit pathological behaviors, such as loss of uniqueness. Convex integration schemes produce examples of such solutions, and I will discuss the role of spacial and temporal intermittency in such constructions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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