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math.AP2026
Wasserstein-Åojasiewicz 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…
math.AP2024
Thom's gradient conjecture for nonlinear evolution equations
Beomjun Choi, Pei-Ken Hung
R. Thom's gradient conjecture states that if a gradient flow of an analytic function converges to a limit, it does so along a unique limiting direction. In this paper, we extend an…