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The $P$-elastic Flow for Planar Closed Curves with Constant Parametrization by Okabe, Shinya; Wheeler, Glen is a scholarly article available to read on EtoBox.

What is The $P$-elastic Flow for Planar Closed Curves with Constant Parametrization about?

In this paper, we consider the $L^2$-gradient flow for the modified $p$-elastic energy defined on planar closed curves. We formulate a notion of weak solution for the flow and prove the existence of global-in-time weak solutions with $p \ge 2$ for initial curves in the energy space via minimizing movements. Moreover, we prove the existence of unique global-in-time solutions to the flow with $p=2$ and obtain their subconvergence to an elastica as $t \to \infty$.

Author

Okabe, Shinya; Wheeler, Glen

Published

2021

Language

EN