50 citations · 153 across the 32 of their papers we have counts for
Showing 2015 · math.APShow all
3 papers · 2 filters
math.AP2015
Convergence of Entropic Schemes for Optimal Transport and Gradient Flows
Guillaume Carlier, Vincent Duval, Gabriel Peyré +1
Replacing positivity constraints by an entropy barrier is popular to approximate solutions of linear programs. In the special case of the optimal transport problem, this technique…
math.AP2015
Generalized solutions of a kinetic granular media equation by a gradient flow approach
Martial Agueh, Guillaume Carlier
We consider a one-dimensional kinetic model of granular media in the case where the interaction potential is quadratic. Taking advan- tage of a simple first integral, we can use a…
math.AP2015★ 7 cited
On systems of continuity equations with nonlinear diffusion and nonlocal drifts
Guillaume Carlier, Maxime Laborde
This paper is devoted to existence and uniqueness results for classes of nonlinear diffusion equations (or systems) which may be viewed as regular perturbations of Wasserstein grad…