Optimal Transport

11 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 A well-defined local continuum damage model with softening via convexification and entropic regularization
  Celine Lauff, André Schlichting, Thomas Böhlke and Matti Schneider
• 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)
• 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 Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients
  Víctor Navarro-Fernández and André Schlichting
  ESAIM Math. Model. Numer. Anal. 57(4), 2131–2158 (2023)
• 2022 Optimal stability estimates and a new uniqueness result for advection-diffusion equations
  Víctor Navarro-Fernández, André Schlichting and Christian Seis
  Pure Appl. Anal. 4(3), 571–596 (2022)
• 2018 Analysis of the implicit upwind finite volume scheme with rough coefficients
  André Schlichting and Christian Seis
  Numer. Math. 139(1), 155–186 (2018)
• 2017 Convergence rates for upwind schemes with rough coefficients
  André Schlichting and Christian Seis
  SIAM J. Numer. Anal. 55(2), 812–840 (2017)