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Key words: partial differential equations, functional analysis, dynamical systems, pattern formation, spectral analysis, nonlinear stability, travelling waves, singular perturbations.
B. de Rijk, G. Schneider. Global existence and decay in multi-component reaction-diffusion-advection systems with different velocities: oscillations in time and frequency, 2020. preprint
R. Goh, B. de Rijk. Spectral stability of pattern-forming fronts in the complex Ginzburg-Landau equation with a quenching mechanism, 2020. preprint/ code repository
B. de Rijk, G. Schneider. Global existence and decay in nonlinearly coupled reaction-diffusion-advection equations with different velocities, J. Differential Equations, 268-7 (2020), pp. 3392-3448. DOI/ preprint
T. Haas, B. de Rijk, G. Schneider. Modulation equations near the Eckhaus boundary: the KdV equation, 2018. preprint
B. de Rijk, B. Sandstede. Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems, J. Differential Equations, 265-10 (2018), pp. 5315-5351. DOI/ preprint
A. Doelman, J.D.M Rademacher, B. de Rijk, F. Veerman. Destabilization mechanisms of periodic pulse patterns near a homoclinic limit, SIAM J. Appl. Dyn. Syst., 17-2 (2018), pp. 1833–1890. DOI/ preprint
B. de Rijk. Spectra and stability of spatially periodic pulse patterns II: the critical spectral curve, SIAM J. Math. Anal. 50-2 (2018), pp. 1958-2019. DOI/ preprint
B. de Rijk, A. Doelman, J.D.M. Rademacher. Spectra and stability of spatially periodic pulse patterns: Evans function factorization via Riccati transformation, SIAM J. Math. Anal. 48-1 (2016), pp. 61-121. DOI/ preprint
P. Carter, B. de Rijk, B. Sandstede. Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system, J. Nonlinear Sci. 26-5 (2016), pp. 1369-1444. DOI/ preprint
B. de Rijk, Periodic pulse solutions to slowly nonlinear reaction-diffusion systems, PhD thesis, Leiden (2016). LUR/ PDF
B. de Rijk. The Order Bicommutant, Master’s thesis, Leiden (2012). PDF (awarded with GQT student prize)
PDE2: Dynamics of Nonlinear Evolution Equations [MA5946]
Stability of Nonlinear Waves [MA5945]
Analysis III (winter 2019-2020)
Höhere Mathematik II für phys, el, kyb, mecha (summer 2019)
Functional Analysis (winter 2018-2019)
Höhere Mathematik II für phys, el, kyb, mecha (summer 2018)
Höhere Mathematik I für phys, el, kyb, mecha (winter 2017-2018)
Mathematik II für Informatiker und Softwaretechniker (summer 2017)
Mathematik I für Informatiker und Softwaretechniker (winter 2016-2017)
Ordinary differential equations (fall 2015, Leiden)
Ordinary differential equations (fall 2014, Leiden)
Functional analysis (fall 2013, Mastermath)
Numeracy lab instructor (spring 2013, LUC The Hague)
Functional analysis (fall 2012, Mastermath)
22-24 July 2020, Spatial Dynamics Workshop, Stuttgart (postponed due to Corona pandemic)
Oberseminar LstAnaMod, Stuttgart, 2016-
PhD Colloquium, Leiden, 2015 (together with Lotte Sewalt, Abtien Javanpeykar and Stéphanie van der Pas).
NDNS+ PhD-days 2014, Lunteren, spring 2014
Analysis Lunchseminar, Leiden, 2014-2016 (together with Lotte Sewalt)
PhD seminar infinite dimensional non-linear dynamical systems, Leiden, spring 2013 (together with Eric Siero)
EquaDiff2019, Leiden, The Netherlands, July 9, 2019.
SIAM DS19, Snowbird, May 19, 2019 [Slides]
Oberseminar Dynamics TUM, Munich, May 6, 2019
Applied Analysis Seminar, Heidelberg, March 5, 2019
Sixth Workshop of the GAMM Activity Group "Analysis of Partial Differential Equations", Stuttgart, September 19, 2018
SIAM Conference on Nonlinear Waves and Coherent Structures, Orange, June 14, 2018 [Slides]
DMVÖMG annual meeting, Salzburg, September 12, 2017
SIAM DS17, Snowbird, May 25, 2017 [Movie] [Slides]
SIAM NW16, Philadelphia, August 10, 2016
Oberseminar Nonlinear Dynamics, Berlin, May 17, 2016
EquaDiff 2015, Lyon, June 6-10, 2015
SIAM DS 2015, Snowbird, May 19, 2015 [Slides]
Applied math days at RPI, Troy, April 10, 2015
Dynamical systems seminar, Boston, April 6, 2015 [Slides]
Analysis Colloquium, Delft, February 12, 2015
SIAM NW14, Cambridge, Augustus 12, 2014 [Poster] (awarded with poster prize)
Positivity VII, Leiden, July 22, 2013
Bachelortheses:
- Global existence and asymptotics in reaction-diffusion equations using L^1-L^infty estimates and renormalization (2019)
- Orthogonality and best approximation in Banach spaces (2019)
- The best approximation and complemented-subspace properties in Banach spaces (2019)
- Traveling wave solutions of reaction-diffusion equations in population dynamics (2016)