Arjen Doelman
Professor of Applied analysis
- Name
- Prof.dr. A. Doelman
- Telephone
- +31 71 527 7123
- doelman@math.leidenuniv.nl
- ORCID iD
- 0000-0003-4369-4172
News
Personal webpage
Former PhD candidates
PhD candidates
Professor of Applied analysis
- Science
- Mathematisch Instituut
- Mathematisch Instituut
- Siteur K., Liu Q.-X.L., Rottschäfer V., Heide T. van der, Rietkerk M., Doelman A., Boström C. & Koppel J. van de (2023), Phase-separation physics underlies new theory for the resilience of patchy ecosystems, Proceedings of the National Academy of Sciences 120(2): e2202683120.
- Bastiaansen R., Doelman A., Langevelde F. van & Rottschäfer V. (2020), Modeling honey bee colonies in winter using a Keller-Segel model with a sign-changing chemotactic coefficient, SIAM Journal on Applied Mathematics 80(2): 839-863.
- Jaïbi O. Doelman A. Chirilus-Bruckner M. Meron E. (2020), The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation, Physica D: Nonlinear Phenomena 412: 132637.
- Bastiaansen R., Chirilus-Bruckner M. & Doelman A. (2020), Pulse solutions for an extended Klausmeier model with spatially varying coefficients, SIAM Journal on Applied Dynamical Systems 19(1): 1-57.
- Bastiaansen R., Jaïbi O., Deblauwe V., Eppinga M.B., Siteur .K., Siero E., Mermoz S., Bouvet A., Doelman A. & Rietkerk M. (2018), Multistability of model and real dryland ecosystems through spatial self-organization, Proceedings of the National Academy of Sciences 115(44): 11256-11261.
- Doelman A., Heijster P.J.A. van & Xie F. (2016), A geometric approach to stationary defect solutions in one space dimension, SIAM Journal on Applied Dynamical Systems 15(2): 655-712.
- Siteur K., Eppinga M.B., Doelman A., Siero E.P.J.A. & Rietkerk M. (2016), Ecosystems off track: rate-induced critical transitions in ecological models, OIKOS 125(12): 1689–1699.
- Sewalt L., Doelman A., Meijer H.G.E., Rottschäfer V. & Zagaris A. (2015), Tracking pattern evolution through center manifold reduction and singular perturbations, Physica D 298: 48-67.
- Doelman A., Sewalt L. & Zagaris A. (2015), The effect of slow spatial processes on emerging spatiotemporal patterns, Chaos: An Interdisciplinary Journal of Nonlinear Science 25(3): .
- Siero E., Doelman A., Eppinga M.B., Rademacher J., Rietkerk M. & Siteur K. (2015), Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes, Chaos: An Interdisciplinary Journal of Nonlinear Science 25(3): 036411.
- Doelman A., Hayrapetyan G., Promislow K. & Wetton B. (2014), Meander and pearling of single-curvature bilayer interfaces in the functionalized Cahn-Hilliard equation, SIAM Journal on Mathematical Analysis 46(6): 3640–3677.
- Siteur K., Siero E., Eppinga M.B., Rademacher J., Doelman A. & Rietkerk M. (2014), Beyond Turing: The response of patterned ecosystems to environmental change, Ecological Complexity 20: 81–96.
- Bellsky T., Doelman A., Kaper T.J. & Promislow K. (2013), Adiabatic stability under semi-strong interactions: the weakly damped regime, Indiana University Mathematics Journal 62(6): 1809–1859.
- Liu Q., Doelman A., Rottschäfer V., Jager M. de, Herman P.M.J., Rietkerk M. & Koppel J. van de (2013), Phase separation explains a new class of self-organized spatial patterns in ecological systems, Proceedings of the National Academy of Sciences 110(29): 11905-11910.
- Doelman A., Eppinga M., Hek G.M., Rademacher J.D.M., Rietkerk M., Siero E. & Siteur K. (2013), Klimaatsverandering, verwoestijng en biljart, Nieuw Archief voor Wiskunde 5/14(3): 200-204.
- Doelman A. & Veerman F. (2013), An explicit theory for pulses in two component, singularly perturbed, reaction-diffusion equations, Journal of Dynamics and Differential Equations : .
- Stelt S. van der, Doelman A., Hek G.M. & Rademacher J.D.M. (2013), Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model, Journal of Nonlinear Science 23(1): 39-95.
- Knight C.J.K., Derks G., Doelman A. & Susanto H. (2013), Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity, Journal of Differential Equations 254(2): 408-468.
- Holzer M., Doelman A. & Kaper T.J. (2013), Existence and stability of traveling pulses in a reaction-diffusion-mechanics system, Journal of Nonlinear Science 23(1): 129-177.
- Veerman F. & Doelman A. (2013), Pulses in a Gierer-Meinhardt equation with a slow nonlinearity, 12(1): 28-60.
- Doelman A., Rottschäfer V., Sewalt L., De Swart H.E., Zagaris A. & Zijlstra J. (2013), De complexe dynamica van fytoplankton, Nieuw Archief voor Wiskunde 5/14(3): 190-194.
- Rottschäfer V. & Doelman A. (1998), On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation, Physica D: Nonlinear Phenomena 118(3-4): 261-292.
- Doelman A. & Rottschäfer V. (1997), Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms, Journal of Nonlinear Science 7: 371-409.
- Voorzitter Wiskunderaad
- Chair Scientific Advisory Committee
- lid Instituutsadviesraad
- Lid International Advisory Board