Variational Convergence

11 publications · all research

• 2026 Singular-limit analysis of gradient descent with noise injection
  Anna Shalova, André Schlichting and Mark A. Peletier
  Accepted in Journal of Machine Learning Research
• 2026 Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions
  Alexander Mielke, André Schlichting and Artur Stephan
  Accepted in SIAM Journal on Mathematical Analysis
• 2025 Graph-to-local limit for the nonlocal interaction equation
  Antonio Esposito, Georg Heinze and André Schlichting
  J. Math. Pures Appl. 194, 103663 (2025)
• 2024 Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits
  Georg Heinze, Jan-Frederik Pietschmann and André Schlichting
• 2024 Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
  Anastasiia Hraivoronska, André Schlichting and Oliver Tse
  Num. Math. 156(6), 2221–2292 (2024)
• 2024 Variational convergence for an irreversible exchange-driven stochastic particle system
  Jasper Hoeksema, Chun Yin Lam and André Schlichting
• 2023 Graph-to-local limit for a multi-species nonlocal cross-interaction system
  Antonio Esposito, Georg Heinze, Jan-Frederik Pietschmann and André Schlichting
  PAMM 23(4) (2023)
• 2023 Thermodynamic limit of stochastic particle systems via EDP convergence
  Chun Yin Lam and André Schlichting
  Oberwolfach Reports: Variational Methods for Evolution 20(4), 3173-3247 (2023), Oberwolfach Report 57/2023
• 2023 Cosh gradient systems and tilting
  Mark A. Peletier and André Schlichting
  Nonlinear Anal. 231, 113094 (2023)
• 2021 Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit
  Antonio Esposito, Francesco S. Patacchini, André Schlichting and Dejan Slepčev
  Arch. Ration. Mech. Anal. 240(2), 699–760 (2021)
• 2019 Macroscopic limit of the Becker-Döring equation via gradient flows
  André Schlichting
  ESAIM Control Optim. Calc. Var. 25, 22 (2019)