33 citations · 58 across the 8 of their papers we have counts for
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math.AP2017
Harmonic mappings valued in the Wasserstein space
Hugo Lavenant
We propose a definition of the Dirichlet energy (which is roughly speaking the integral of the square of the gradient) for mappings mu : Omega -> (P(D), W\_2) defined over a subset…
math.AP2017★ 1 cited
Optimal density evolution with congestion: L infinity bounds via flow interchange techniques and applications to variational Mean Field Games
Hugo Lavenant, Filippo Santambrogio
We consider minimization problems for curves of measure, with kinetic and potential energy and a congestion penalization, as in the functionals that appear in Mean Field Games with…
math.AP2017
Time-convexity of the entropy in the multiphasic formulation of the incompressible euler equation
Hugo Lavenant
We study the multiphasic formulation of the incompressible Euler equation introduced by Brenier: infinitely many phases evolve according to the compressible Euler equation and are…