Wasserstein-Łojasiewicz inequalities and asymptotics of McKean-Vlasov equation

Beomjun Choi, Seunghoon Jeong, Geuntaek Seo

We prove convergence to equilibrium for solutions to the McKean-Vlasov (granular media) equation on the flat torus in a genuinely nonconvex setting. Our approach is based on a Wass…