4 papers · 1 filter
Wasserstein gradient flows for Coulomb discrepancies
Antonin Chodron de Courcel, Matthew Rosenzweig
We study the long-time behavior of the Wasserstein gradient flow of the squared Maximum Mean Discrepancy (MMD) between a probability measure and a target measure , where t…
Well-posedness of multidimensional nonlocal conservation laws with nonlinear mobility and bounded force
Antonin Chodron de Courcel
We establish local-in-time existence and uniqueness results for nonlocal conservation laws with a nonlinear mobility, in several space dimensions, under weak assumptions on the ker…
On clogged and fast diffusions in porous media with fractional pressure
Antonin Chodron de Courcel
We study the existence and infinite-speed propagation of solutions to models arising in porous media, when the mobility is highly degenerate (inverse power law). The approach is ba…
On a repulsion model with Coulomb interaction and nonlinear mobility
Antonin Chodron de Courcel, Charles Elbar
We study a scalar conservation law on the torus in which the flux is composed of a Coulomb interaction and a nonlinear mobility: $\mathbf{j} = -u^m\nabla\mathsf{g}\ast…