Curve shortening flow

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The curve shortening flow is a simple and beautiful example of a geometric heat flow, the family of equations which includes the Ricci flow used by Perelman to prove the Poincare conjecture as well as many other interesting examples.  Requiring only some elementary differential geometry, the project would allow you to look into the methods used to understand the behaviour of solutions of the curve shortening flow, and to explore some applications.

Updated:  27 March 2017/Responsible Officer:  Director/Page Contact:  School Manager