2025

• Wolfgang Arendt, Daniel Daners, Manfred Sauter:
  Variational solutions of the Dirichlet problem, Lebesgue's cusp and non-local properties, December 2025.
• Katarzyna Ryszewska, Rico Zacher:
  On the Harnack inequality for time-fractional and more general non-local in time subdiffusion equations, October 2025.
• Nicolai Gerber, Rishabh Gvalani, Martin Hairer, Greg Pavliotis, André Schlichting:
  Formation of clusters and coarsening in weakly interacting diffusions, October 2025.
• Ahmad Z. Fino, Arlúcio Viana:
  Nonexistence of global solutions to the Grushin heat equation with nonlocal and local nonlinearities, October 2025.
• Alexander Mielke, André Schlichting, Artur Stephan:
  Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions, October 2025.
• Wolfgang Arendt, A. F. M. ter Elst, Manfred Sauter:
  Elliptic systems generating a positive semigroup are decoupled, September 2025.
• Arlúcio Viana, Patryk Wolejko, Rico Zacher:
  Duality estimates for subdiffusion problems including time-fractional porous medium type equations, September 2025.
• Chun Yin Lam, André Schlichting:
  Existence and Non-existence for Continuous Generalized Exchange-Driven Growth model, September 2025.
• Helge Dietert, Clément Mouhot, Lukas Niebel, Rico Zacher:
  Critical trajectories in kinetic geometry, August 2025.
• Ahmad Z. Fino, Arlucio Viana:
  Local and global solvability of the Grushin heat equation with mixed nonlinear memory and reaction terms, July 2025.
• Nicolai Gerber, Franca Hoffmann, Dohyeon Kim, Urbain Vaes:
  Uniform-in-time propagation of chaos for Consensus-Based Optimization, May 2025.
• Chun Yin Lam, André Schlichting:
  Convergence of a Stochastic Particle System to the Continuous Generalized Exchange-Driven Growth Model, March 2025.
• Anna Dall'Acqua, Manuel Schlierf:
  The length-preserving elastic flow with free boundary on hypersurfaces in Rⁿ, March 2025.
• Anna Dall'Acqua, Marius Müller, Fabian Rupp, Manuel Schlierf:
  Dimension reduction for Willmore flows of tori: fixed conformal class and analysis of singularities, February 2025.
• Nicolai Jurek Gerber, Urbain Vaes:
  Uniform-in-time propagation of chaos for the Cucker–Smale model, January 2025. DOI
• Daniel Matthes, Eva-Maria Rott, André Schlichting:
  Diffusive transport on the real line: semi-contractive gradient flows and their discretization, January 2025.
• Alessia E. Kogoj, Maria E. Lima, Arlúcio Viana:
  On the Heat equation involving a Grushin operator in Marcinkiewcz spaces, January 2025. DOI
• Wolfgang Arendt, Manfred Sauter:
  Maximal regularity for generalized boundary conditions in time, January 2025. DOI

2024

• Georg Heinze, Jan-Frederik Pietschmann, André Schlichting:
  Gradient flows on metric graphs with reservoirs: Microscopic derivation and multiscale limits, December 2024.
• Anna Shalova, André Schlichting:
  Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds, December 2024.
• Adam Kubica, Katarzyna Ryszewska, Rico Zacher:
  Holder regularity for nonlocal in time subdiffusion equations with general kernel, September 2024.
• Fabian Rupp, Christian Scharrer, Manuel Schlierf:
  Gradient flow dynamics for cell membranes in the Canham-Helfrich model, August 2024.
• Leonie Langer:
  Dynamics of Elastic Wires: Preserving Area without Nonlocality, August 2024. DOI
• Wolfgang Arendt, Daniel Daners:
  Semi-linear evolution equations via positive semigroups, July 2024. DOI
• Manuel Schlierf:
  Introducing spontaneous curvature to the Helfrich flow: Singularities and convergence, April 2024.
• Anna Shalova, André Schlichting, Mark Peletier:
  Singular-limit analysis of gradient descent with noise injection, April 2024.
• Patrick Brkic, Emil Wiedemann:
  Wild solutions of the 3D axisymmetric Euler equations, April 2024.
• Pascal Auscher, Cyril Imbert, Lukas Niebel:
  Fundamental solutions to Kolmogorov-Fokker-Planck equations with rough coefficients: existence, uniqueness, upper estimates, March 2024.
• Pascal Auscher, Cyril Imbert, Lukas Niebel:
  Weak solutions to Kolmogorov-Fokker-Planck equations: regularity, existence and uniqueness, March 2024.
• Manuel Schlierf:
  Global existence for the Willmore flow with boundary via Simon's Li-Yau inequality, February 2024.
• Chun Yin Lam, André Schlichting:
  Variational convergence of exchange-driven stochastic particle systems in the thermodynamic limit, January 2024.

2023

• Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré, André Schlichting:
  A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport, December 2023.
• Sebastian Kräss, Rico Zacher:
  Li-Yau type and Harnack estimates for systems of reaction-diffusion equations via hybrid curvature-dimension condition, December 2023.
• Nicolai Jurek Gerber, Franca Hoffmann, Urbain Vaes:
  Mean-field limits for Consensus-Based Optimization and Sampling, December 2023.
• Manuel Schlierf:
  Singularities of the hyperbolic elastic flow: Convergence, quantization and blow-ups, November 2023. DOI
• W. Arendt, A. F. M. ter Elst, M. Sauter:
  Nittka's invariance criterion and Hilbert space valued parabolic equations in $L_p$, October 2023. DOI
• Anna Dall'Acqua, Gaspard Jankowiak, Leonie Langer, Fabian Rupp:
  Conservation, convergence, and computation for evolving heterogeneous elastic wires, August 2023. DOI
• Antonio Esposito, Georg Heinze, Jan-Frederik Pietschmann, André Schlichting:
  Graph-to-local limit for a multi-species nonlocal cross-interaction system, June 2023.
• Raphael Wagner:
  Vanishing of long time average p-enstrophy dissipation rate in the inviscid limit of the 2D damped Navier-Stokes equations, June 2023.
• Antonio Esposito, Georg Heinze, André Schlichting:
  Graph-to-local limit for the nonlocal interaction equation, June 2023.
• Anastasiia Hraivoronska, André Schlichting, Oliver Tse:
  Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit, June 2023. DOI
• Adam Kubica, Katarzyna Ryszewska, Rico Zacher:
  Holder continuity of weak solutions to evolution equations with distributed order fractional time derivative, May 2023.
• W. Arendt, A. F. M. ter Elst, M. Sauter:
  The Perron solution for elliptic equations without the maximum principle, May 2023.
• W. Arendt, I. Chalendar, B. Moletsane:
  Semigroups generated by multivalued operators and domain convergence for parabolic problems, April 2023.
• Wolfgang Arendt, Isabelle Chalendar, Robert Eymard:
  Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions, April 2023.
• Dennis Gallenmüller, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Jakub Woźnicki:
  Cahn-Hillard and Keller-Segel systems as high-friction limits of Euler-Korteweg and Euler-Poisson equations, April 2023.
• Manuel Schlierf:
  On the convergence of the Willmore flow with Dirichlet boundary conditions, March 2023. DOI
• Dennis Gallenmüller, Raphael Wagner, Emil Wiedemann:
  Probabilistic Descriptions of Fluid Flow: A Survey, March 2023. DOI
• Patrick Brkic, Emil Wiedemann:
  On the vanishing viscosity limit for 3D axisymmetric flows without swirl, March 2023.
• Martin Burger, Matthias Erbar, Franca Hoffmann, Daniel Matthes, André Schlichting:
  Covariance-modulated optimal transport and gradient flows, February 2023. DOI
• Sebastian Kräss, Rico Zacher:
  Aronson-Bénilan and Harnack estimates for the discrete porous medium equation, January 2023.

Wir bedanken uns bei arXiv für die Benutzung ihrer offen zugänglichen und interoperablen Schnittstellen.