Recent preprints on arXiv
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.