A minimizing movements scheme is shown to converge to level-set viscosity solutions of nonlinear, possibly nonlocal curvature flows with mobility and time-dependent forcing, with uniqueness under additional curvature assumptions.
Generalized motion of level sets by functions of their curvatures on Riemannian manifolds
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Variational Nonlinear and Nonlocal Curvature Flows
A minimizing movements scheme is shown to converge to level-set viscosity solutions of nonlinear, possibly nonlocal curvature flows with mobility and time-dependent forcing, with uniqueness under additional curvature assumptions.