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math.AP2017
Uniformly compressing mean curvature flow
Wenhui Shi, Dmitry Vorotnikov
Michor and Mumford showed that the mean curvature flow is a gradient flow on a Riemannian structure with a degenerate geodesic distance. It is also known to destroy the uniform den…
math.AP2017★ 1 cited
The gradient flow of the potential energy on the space of arcs
Wenhui Shi, Dmitry Vorotnikov
We study the gradient flow of the potential energy on the infinite-dimensional Riemannian manifold of spatial curves parametrized by the arc length, which models overdamped motion…