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math.AP2025★ 1 cited
A gradient flow that is none: Heat flow with Wentzell boundary condition
Marie Bormann, Léonard Monsaingeon, D. R. Michiel Renger +1
We establish a representation of the heat flow with Wentzell boundary conditions on smooth domains as gradient descent dynamics for the entropy in a suitably extended Otto manifold…
math.AP2024★ 1 cited
Well-Posedness for Dean-Kawasaki Models of Vlasov-Fokker-Planck Type
Fenna Müller, Max von Renesse, Johannes Zimmer
We consider systems of interacting particles which are described by a second order Langevin equation. The class of equations considered includes the situation where the particle ev…