A minimising movement scheme for the p-elastic energy of curves
A minimising movement scheme for the p-elastic energy of curves
We prove short-time existence for the negative L2 -gradient flow of the p-elastic energy of curves via a minimising movement scheme. In order to account for the degeneracy caused by the energy's invariance under curve reparametrisations, we write the evolving curves as approximate normal graphs over a fixed smooth curve. …