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Concluding remarks and some open problems

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This series of webinars was planned in commemoration of George Batchelor’s promotion of the field of fluid mechanics in all its varied aspects and applications. In rounding off the series, I shall first comment on how much George Batchelor himself would have enjoyed the 15 brilliant presentations that we have heard. It is good to know that our subject is flourishing so vigorously with the young talent that has been so evident through these presentations. I shall use the short time available to me to discuss three questions that I touched on in my JFM Perspectives paper “Some topological aspects of fluid dynamics”: (i) How are corner eddies affected by increasing the Reynolds number of the remote forcing? (ii) How does a sheet of air enter through the free-surface cusp in a tightly controlled situation? (iii) How can knotted or linked magnetic flux tubes most efficiently jump from one minimum-energy state to another?

This talk is part of the Fluid Mechanics (DAMTP) series.

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