Björn de Rijk

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)