7 citations · 7 across the 2 of their papers we have counts for
3 papers
math.AP2016
A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts
Guillaume Carlier, Maxime Laborde
We prove an existence result for nonlinear diffusion equations in the presence of a nonlocal density-dependent drift which is not necessarily potential. The proof is constructive a…
math.AP2015
On some non linear evolution systems which are perturbations of Wasserstein gradient flows
Maxime Laborde
This paper presents existence and uniqueness results for a class of parabolic systems with non linear diffusion and nonlocal interaction. These systems can be viewed as regular per…
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…