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math.AP2025
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…
math.AP2023★ 1 cited
Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows
Antonin Chodron de Courcel, Matthew Rosenzweig, Sylvia Serfaty
We consider conservative and gradient flows for -particle Riesz energies with mean-field scaling on the torus , for , and with thermal noise of McKean-Vla…