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math.AP2015★ 30 cited
Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions
Katy Craig
Over the past fifteen years, the theory of Wasserstein gradient flows of convex (or, more generally, semiconvex) energies has led to advances in several areas of partial differenti…
math.AP2015★ 1 cited
Convergence of regularized nonlocal interaction energies
Katy Craig, Ihsan Topaloglu
Inspired by numerical studies of the aggregation equation, we study the effect of regularization on nonlocal interaction energies. We consider energies defined via a repulsive-attr…