%0 Journal Article %A Eric Carlen %A Wilfrid Gangbo %T Constrained deepest descent in the $2$-Wasserstein metric %J Annals of mathematics %D 2003 %P 807-846 %V 157 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.157.807/ %R 10.4007/annals.2003.157.807 %G en %F 10_4007_annals_2003_157_807