On Dean–Kawasaki Dynamics with Smooth Drift Potential

  • Vitalii KonarovskyiEmail author
  • Tobias Lehmann
  • Max von Renesse


We consider the Dean–Kawasaki equation with smooth drift interaction potential and show that measure-valued solutions exist only in certain parameter regimes in which case they are given by finite Langevin particle systems with mean field interaction.


Dean–Kawasaki equation Langevin dynamics Wasserstein diffusion Itô formula for measure-valued processes 

Mathematics Subject Classification

60H15 60K35 82C22 60G57 82C31 



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Authors and Affiliations

  1. 1.Fakultät für Mathematik und InformatikUniversität LeipzigLeipzigGermany

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