13 апреля 2023 г. НЕСТАНДАРТНОЕ ВРЕМЯ 10:00

Geometric theory of optimal control

Расписание: 

четверг, 16:45

Аудитория: 

Семинар проходит онлайн, в zoom, https://us06web.zoom.us/j/84704253405?pwd=M1dBejE1Rmp5SlUvYThvZzM3UnlvZz09

Докладчик: 

Tatsuya Miura, Kensuke Yoshizawa
Tokyo Institute of Technology; Kyushu University

Название: 

Complete classification of planar p-elasticae

Аннотация доклада: 

The $p$-bending energy is defined by the $L^p$-norm of the curvature, and critical points of the $p$-bending energy under the fixed length constraint are called $p$-elasticae. The aim of this talk is to give a complete classification of planar $p$-elasticae. In addition, by introducing a new type of generalization of the elliptic functions, we also obtain explicit formulae of planar $p$-elasticae and their optimal regularity.