This image shows Björn de Rijk

Dr.

Björn de Rijk

Research Associate from 2016 to 2022
Institute of Analysis, Dynamics and Modeling
Chair for Analysis and Modeling

Contact


Business card (VCF)

Subject

Nonlinear Partial Differential Equations, Pattern Formation, Stability and Long-Term Dynamics, Spectral Analysis, Dynamical Systems, Multiple Scale Problems, Functional Analysis, Traveling Waves

Under review

15. M. Engel, C. Kuehn, B. de Rijk. A traveling wave bifurcation analysis of turbulent pipe flow, 2021. preprint

14. M. Haragus, M.A. Johnson, W.R. Perkins, B. de Rijk. Nonlinear Modulational Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves, 2021. preprint

13. B. Hilder, B. de Rijk, G. Schneider. Moving modulating pulse and front solutions of permanent form in a FPU model with nearest and next-to-nearest neighbor interaction, 2021. preprint

12. T. Haas, B. de Rijk, G. Schneider. Validity of Whitham's modulation equations for dissipative systems with a conservation law: phase dynamics in a generalized Ginzburg-Landau system, 2021. preprint

11. 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

 
Peer-reviewed

10. B. de Rijk, G. Schneider. Global existence and decay in multi-component reaction-diffusion-advection systems with different velocities: oscillations in time and frequency, Nonlinear Differ. Equ. Appl. 28-2 (2021). DOI/ preprint

9. 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

8. T. Haas, B. de Rijk, G. Schneider. Modulation equations near the Eckhaus boundary: the KdV equation, SIAM J. Math. Anal., 52-6 (2020), pp. 5389–5421. DOI/ preprint

7. 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/ corrigendum/ DOI old version/ corrected preprint 

6. 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

5. 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

4. 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

3. 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


Conference proceedings

2. L. Sewalt, K. Myerscough, N. Banagaaya, B. de Rijk, J. Dubbeldam, Stress distribution during neck formation: An approximate theory, Proceedings of the 90th European Study Group Mathematics with Industry (2013).

1. N. Bansal, D. Bourne, M. Firat, M. de Graaf, S. Kapodistria, K. Kumar, C. Meerman, M. Mitici, F.R. Nardi, B. de Rijk, S. Sarswat, L. Scardia. Optimization of lifetime in sensor networks, Proceedings of the 84th European Study Group Mathematics with Industry (2012).


Theses

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)

Conference on Mathematics of Wave Phenomena, Karlsruhe, February 14-18, 2022
Spatial Dynamics Workshop, Stuttgart, September 5-7, 2022
BIRS Workshop Topics in Multiple Time Scale Dynamics, Banff, November 27 to December 2, 2022

NCTS Webinar on Nonlinear Evolutionary Dynamics, Taiwan, October 5, 2021
Workshop Dynamics of Waves and Patterns, Oberwolfach, August 8-14, 2021
Dynamics Days 2021 XL, Nice, August 25, 2021
Oberseminar Mathematische Modelle, München, June 30, 2021
SIAM DS21, Online, May 25, 2021
Seminaire equations-aux-derivees-partielles, Rennes, March 12, 2020
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:

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