Publications

Research Articles (Journals)

• Esposito A; Patacchini FS; Schlichting A. 2024. ‘On a Class of Nonlocal Continuity Equations on Graphs.’ European Journal of Applied Mathematics 35, No. 1: 109–126. doi: 10.1017/S0956792523000128.
• Navarro-Fernández V, Schlichting A. 2023. ‘Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients.’ ESAIM: Mathematical Modelling and Numerical Analysis 57, No. 4: 2131–2158. doi: 10.1051/m2an/2023035.
• Peletier Mark A., Schlichting André. 2022. ‘Cosh gradient systems and tilting.’ Nonlinear Analysis: Theory, Methods and Applications 2203: 113094. doi: 10.1016/j.na.2022.113094.
• Menz G, Schlichting A, Tang W, Wu T. 2022. ‘Ergodicity of the infinite swapping algorithm at low temperature.’ Stochastic Processes and their Applications 151: 519–552. doi: 10.1016/j.spa.2022.06.015.
• Niethammer Barbara, Pego Robert L., Schlichting André, Velázquez Juan J. L,. 2022. ‘Oscillations in a Becker-Döring model with injection and depletion.’ SIAM Journal on Applied Mathematics 82, No. 4: 1194–1219. doi: 10.1137/20M1398664.
• Navarro-Fernández V, Schlichting A, Seis C. 2022. ‘Optimal stability estimates and a new uniqueness result for advection-diffusion equations.’ Pure and Applied Analysis 4, No. 3: 571–596. doi: 10.2140/paa.2022.4.571.
• Schlichting André, Seis Christian. 2021. ‘The Scharfetter–Gummel scheme for aggregation–diffusion equations.’ IMA Journal of Numerical Analysis 42, No. 3: 2361–2402. doi: 10.1093/imanum/drab039.
• Eichenberg C, Schlichting A. 2021. ‘Self-similar behavior of the exchange-driven growth model with product kernel.’ Commun. Partial. Differ. Equ. 46, No. 3: 498–546. doi: 10.1080/03605302.2020.1845205.
• Esposito A, Patacchini F, Schlichting A, Slepčev D. 2021. ‘Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit.’ Arch. Ration. Mech. Anal. 2021. doi: 10.1007/s00205-021-01631-w.
• Esposito A, Gvalani RS, Schlichting A, Schmidtchen M. 2021. ‘On a novel gradient flow structure for the aggregation equation.’ ArXiv.org 2021. doi: 10.48550/arXiv.2112.08317. [submitted / under review]
• Schlichting, André. 2020. ‘The exchange-driven growth model: basic properties and longtime behavior.’ Journal of Nonlinear Science 30, No. 3: 793–830. doi: 10.1007/s00332-019-09592-x.
• Gvalani RS, Schlichting A. 2020. ‘Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures.’ Journal of Functional Analysis 279, No. 11: 108720. doi: 10.1016/j.jfa.2020.108720.
• Erbar, Matthias; Fathi, Max; Schlichting, André. 2020. ‘Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces.’ Alea 17, No. 1: 445–471. doi: 10.30757/alea.v17-18.
• Conlon JG, Schlichting A. 2019. ‘A non-local problem for the Fokker-Planck equation related to the Becker-Döring model.’ Discrete and Continuous Dynamical Systems - Series A 39, No. 4: 1821–1889. doi: 10.3934/dcds.2019079.
• Schlichting A. 2019. ‘Macroscopic limit of the Becker-Döring equation via gradient flows.’ ESAIM: Control, Optimisation and Calculus of Variations 25, No. 22: 36. doi: 10.1051/cocv/2018011.
• Schlichting A. 2019. ‘Poincaré and Log–Sobolev Inequalities for Mixtures.’ Entropy 21, No. 1: 89. doi: 10.3390/e21010089.
• Schlichting A, Slowik M. 2019. ‘Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities.’ Annals of Applied Probability 29, No. 6: 3438–3488. doi: 10.1214/19-AAP1484.
• Carrillo JA, Gvalani RS, Pavliotis GA, Schlichting A. 2019. ‘Long-Time Behaviour and Phase Transitions for the McKean-Vlasov Equation on the Torus.’ Archive for Rational Mechanics and Analysis 235, No. 1: 635–690. doi: 10.1007/s00205-019-01430-4.
• Duong MH, Lamacz A, Peletier MA, Schlichting A, Sharma U. 2018. ‘Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics.’ Nonlinearity 31, No. 10: 4517–4566. doi: 10.1088/1361-6544/aaced5.
• Eberle S, Niethammer B, Schlichting A. 2017. ‘Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation.’ Nonlinear Analysis: Theory, Methods and Applications 158: 142–167. doi: 10.1016/j.na.2017.04.009.
• Erbar M, Fathi M, Laschos V, Schlichting A. 2016. ‘Gradient flow structure for McKean-Vlasov equations on discrete spaces.’ Discrete and Continuous Dynamical Systems - Series A 36, No. 12: 6799–6833. doi: 10.3934/dcds.2016096.
• Menz G, Schlichting A. 2014. ‘Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape.’ Annals of Probability 42, No. 5: 1809–1884. doi: 10.1214/14-AOP908.

Research Articles in Journals (Conferences)

• Conlon JG, Schlichting A. 2018. ‘A non-local Fokker-Planck equation related to nucleation and coarsening.’ In Oberwolfach Reports Interplay Anal. Probab. Appl. Math., edited by Betz V, Dirr N, König W, Theil F, 311–381.: European Mathematical Society Publishing House. doi: 10.4171/OWR/2018/6.