36 citations · 112 across the 19 of their papers we have counts for
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math.AP2017
A tumor growth model of Hele-Shaw type as a gradient flow
Lénaïc Chizat, Simone Di Marino
In this paper, we characterize a degenerate PDE as the gradient flow in the space of nonnegative measures endowed with an optimal transport-growth metric. The PDE of concern, of He…
math.OC2017★ 5 cited
The entropic regularization of the Monge problem on the real line
Simone Di Marino, Jean Louet
We study the entropic regularization of the optimal transport problem in dimension 1 when the cost function is the distance c(x, y) = |y -- x|. The selected plan at the limit is, a…
cond-mat.str-el2017★ 19 cited
The strictly-correlated electron functional for spherically symmetric systems revisited
Michael Seidl, Simone Di Marino, Augusto Gerolin +3
The strong-interaction limit of the Hohenberg-Kohn functional defines a multimarginal optimal transport problem with Coulomb cost. From physical arguments, the solution of this lim…