Gradient Flows

15 publications · all research

• 2026 Maximal monotonicity and contraction semigroup for the quantum drift-diffusion (Derrida–Lebowitz–Speer–Spohn) equation
  Daniel Matthes, Giuseppe Savaré and André Schlichting
• 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 Diffusive transport on the real line: semi-contractive gradient flows and their discretization
  Daniel Matthes, Eva-Maria Rott and André Schlichting
  Nonlinearity 38(11), 115005 (2025)
• 2025 A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
  Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré and André Schlichting
  Numer. Math. 157(4), 1347–1395 (2025)
• 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 Covariance-Modulated Optimal Transport and Gradient Flows
  Martin Burger, Matthias Erbar, Franca Hoffmann, Daniel Matthes and André Schlichting
  Arch. Ration. Mech. Anal. 249(1), 7 (2024)
• 2024 Diffusive transport: geodesics, convexity, and gradient flows with their structure preserving discretizations
  Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré and André Schlichting
  Oberwolfach Reports: Applications of Optimal Transportation 21(1), 309-388 (2024), Oberwolfach Report 7/2024
• 2024 On a novel gradient flow structure for the aggregation equation
  Antonio Esposito, Rishabh S. Gvalani, André Schlichting and Markus Schmidtchen
  Calc. Var. & PDE 63(5), 126 (2024)
• 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)
• 2017 Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation
  Simon Eberle, Barbara Niethammer and André Schlichting
  Nonlinear Anal. 158, 142–167 (2017)
• 2016 Gradient flow structure for McKean-Vlasov equations on discrete spaces
  Matthias Erbar, Max Fathi, Vaios Laschos and André Schlichting
  Discrete Contin. Dyn. Syst. 36(12), 6799–6833 (2016)