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Weak and 'Very Weak' Solutions for Euler and Navier-Stokes Equations in 2 and 3 Dimensions

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I shall discuss some basic results about the existence and uniqueness of weak (i.e. distributional) and ‘very weak’ (i.e. measure-valued) solutions, for Navier-Stokes and Euler Equations in dimensions 2 and 3. In particular, I may cover the following topics: (1) Local existence theorems; (2) break-down criterion of Beale-Kato-Majda; (3) some results of Onsager Conjecture.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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