Research Interests

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 $ Mark A. Peletier and André Schlichting. Cosh gradient systems and tilting. arXiv e-prints, March 2022. arXiv:2203.05435.

$\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 $ 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 $ 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 $ 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, 2020. doi:10.30757/alea.v17-18.