Research Interests
$\bullet$ Nonlinear dynamics of partial/ordinary differential equations and stochastic processes
$\bullet$ long-time asymptotics: metastability, phase-transitions and coarsening
$\bullet$ Interacting particle system and their scaling limits
$\bullet$ Variational methods for evolution equations: gradient flows and optimal transport
$\bullet$ Structure preserving numerical schemes
Current Publications
$\bullet $ Martin Burger, Matthias Erbar, Franca Hoffmann, Daniel Matthes, and André Schlichting. Covariance-modulated optimal transport and gradient flows. arXiv e-prints, February 2023. arXiv:2302.07773.
$\bullet $ Víctor Navarro-Fernández, André Schlichting, and Christian Seis. Optimal stability estimates and a new uniqueness result for advection-diffusion equations. Pure and Applied Analysis, 4(3):571–596, December 2022. doi:10.2140/paa.2022.4.571.
$\bullet $ Georg Menz, André Schlichting, Wenpin Tang, and Tianqi Wu. Ergodicity of the infinite swapping algorithm at low temperature. Stoch. Process. Their Appl, 151:519–552, September 2022. doi:10.1016/j.spa.2022.06.015.
$\bullet $ Antonio Esposito, Francesco S. Patacchini, and André Schlichting. On a class of nonlocal continuity equations on graphs. arXiv e-prints, September 2022. arXiv:2209.15552.
$\bullet $ Mark A. Peletier and André Schlichting. Cosh gradient systems and tilting. Nonlinear Anal., pages 113094, August 2022. doi:10.1016/j.na.2022.113094.
$\bullet $ Barbara Niethammer, Robert L. Pego, André Schlichting, and Juan J. L. Velázquez. Oscillations in a Becker-Döring model with injection and depletion. SIAM J. Appl. Math, 82(4):1194–1219, August 2022. doi:10.1137/20M1398664.
$\bullet $ Mark A. Peletier and André Schlichting. Cosh gradient systems and tilting. arXiv e-prints, March 2022. arXiv:2203.05435.
$\bullet $ Víctor Navarro-Fernández and André Schlichting. Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients. arXiv e-prints, January 2022. arXiv:2201.10411.
$\bullet $ Antonio Esposito, Rishabh S. Gvalani, André Schlichting, and Markus Schmidtchen. On a novel gradient flow structure for the aggregation equation. arXiv e-prints, December 2021. arXiv:2112.08317.
$\bullet $ Georg Menz, André Schlichting, Wenpin Tang, and Tianqi Wu. Ergodicity of the infinite swapping algorithm at low temperature. arXiv e-prints, September 2021. arXiv:1811.10174.
$\bullet $ André Schlichting and Christian Seis. The Scharfetter–Gummel scheme for aggregation–diffusion equations. IMA Journal of Numerical Analysis, May 2021. doi:10.1093/imanum/drab039.
$\bullet $ Constantin Eichenberg and André Schlichting. Self-similar behavior of the exchange-driven growth model with product kernel. Communications in Partial Differential Equations, 46(3):498–546, March 2021. doi:10.1080/03605302.2020.1845205.
$\bullet $ Antonio Esposito, Francesco S. Patacchini, André Schlichting, and Dejan Slepcev. Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit. Archive for Rational Mechanics and Analysis, 240(2):699–760, March 2021. doi:10.1007/s00205-021-01631-w.
$\bullet $ Barbara Niethammer, Robert L. Pego, André Schlichting, and Juan J. L. Velázquez. Oscillations in a Becker-Döring model with injection and depletion. arXiv e-prints, February 2021. arXiv:2102.06751.
$\bullet $ Víctor Navarro-Fernández, André Schlichting, and Christian Seis. Optimal stability estimates and a new uniqueness result for advection-diffusion equations. arXiv e-prints, February 2021. arXiv:2102.07759.
$\bullet $ Rishabh S. Gvalani and André Schlichting. Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures. J. Funct. Anal., 279(11):108720, December 2020. doi:10.1016/j.jfa.2020.108720.
$\bullet $ André Schlichting. The exchange-driven growth model: Basic properties and longtime behavior. J. Nonlinear Sci., 30(3):793–830, June 2020. doi:10.1007/s00332-019-09592-x.
$\bullet $ Matthias Erbar, Max Fathi, and André Schlichting. Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces. Latin American Journal of Probability and Mathematical Statistics, 17(1):445, March 2020. doi:10.30757/alea.v17-18.
$\bullet $ J. A. Carrillo, R. S. Gvalani, G. A. Pavliotis, and A. Schlichting. Long-time behaviour and phase transitions for the Mckean–Vlasov equation on the torus. Arch. Ration. Mech. Anal., 235(1):635–690, January 2020. doi:10.1007/s00205-019-01430-4.
$\bullet $ André Schlichting and Martin Slowik. Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities. Ann. Appl. Probab., 29(6):3438–3488, December 2019. doi:10.1214/19-AAP1484.
$\bullet $ André Schlichting. Macroscopic limit of the Becker–Döring equation via gradient flows. ESAIM Control Optim. Calc. Var., 25:22, July 2019. doi:10.1051/cocv/2018011.
$\bullet $ Joseph G. Conlon and André Schlichting. A non-local problem for the Fokker-Planck equation related to the Becker-Döring model. Discrete Contin. Dyn. Syst., 39(4):1821, April 2019. doi:10.3934/dcds.2019079.