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Convex integration in fluid dynamics

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TURW01 - Turbulence: where do we stand and where are we heading?

In the past decade convex integration has been developed into a rather powerful technique for constructing weak solutions to various PDEs of fluid dynamics. Notable examples are the resolution of Onsager’s conjecture and the construction of non-unique weak solutions of the Navier-Stokes equations in various weak function spaces. In this talk I will survey and put in perspective some of the different applications of convex integration, with the aim to get some sense of where limits and possibilities of this theory lie.

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

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