Abstract: We define a relative entropy for two expanding solutions to mean curvature flow of hypersurfaces, asymptotic to the same smooth cone at infinity. Adapting work of White and using recent results of Bernstein and Bernstein-Wang, we show that generically expanders with vanishing relative entropy are unique. This also implies that generically locally entropy minimizing expanders are unique. This is joint work with A. Deruelle.
Workshop on Mean Curvature and Regularity
Generic uniqueness of expanders with vanishing relative entropy
University College London
Date & Time
November 08, 2018 | 11:30am – 12:30pm
Simonyi Hall 101