44 citations · 145 across the 27 of their papers we have counts for
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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.FA2017
Nonlinear Fokker-Planck equations with reaction as gradient flows of the free energy
Stanislav Kondratyev, Dmitry Vorotnikov
We interpret a class of nonlinear Fokker-Planck equations with reaction as gradient flows over the space of Radon measures equipped with the recently introduced Hellinger-Kantorovi…
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…