A Sobolev gradient flow for the area-normalised Dirichlet energy of $H^1$ maps

Shinya Okabe, Philip Schrader, Valentina Wheeler +1

In this article we study the $H^1(du)$-gradient flow for the energy $E[X]=Q[X]/A[X]$ where $Q[X]$ is the Dirichlet energy of $X$, $A[X]$ is the signedenclosed area of $X$, and $X…