Speaker: Professor Chun-Chi Lin, National Taiwan Normal University Title: The p-elastic flows of inextensible planar closed curves for p ∈ (1, ∞) Abstract:

Building on the work of Blatt, Hopper, and Vorderobermeier (2022) on the existence of geometric flows for the p-elastic energy with p∈ [2,∞), we investigate how to extend their results to the case p∈(1,2). In this talk, we focus on the class of inextensible planar closed curves. We establish the existence of global weak solutions to the L 2 -gradient flow of the p-elastic energy for all p ∈ (1, ∞). Further directions, including extensions to open curves and applications to variational problems of curves in sub-Riemannian geometry, will also be discussed. The results presented are based on joint work with Ying-Hsian Tsai.

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