1 citations · 1 across the 4 of their papers we have counts for
4 papers
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 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…
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…
The attractive log gas: stability, uniqueness, and propagation of chaos
Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty
We consider overdamped Langevin dynamics for the attractive log gas on the torus , for . In dimension , this model coincides…