21. | M. Haragus, M.A. Johnson, W.R. Perkins, B. de Rijk. Nonlinear subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves, Comm. Math. Phys. 405:227 (2024). DOI | preprint |
20. | J. Lin, D.E. Pelinovsky, B. de Rijk. On the extinction of multiple shocks in scalar viscous conservation laws, SIAM J. Appl. Dyn. Syst. 23-3 (2024), pp. 2323-2363. DOI | preprint |
19. | B. de Rijk. Nonlinear stability and asymptotic behavior of periodic wave trains in reaction-diffusion systems against C_{ub}-perturbations, Arch. Rational Mech. Anal. 248:36 (2024). DOI | preprint |
18. | 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, Indiana Univ. Math. J. 72-1 (2023), pp. 165-195. DOI | preprint |
17. | 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, SIAM J. Appl. Dyn. Syst. 22-2 (2023), pp. 1076-1113. DOI | preprint |
16. | B. Hilder, B. de Rijk, G. Schneider. Nonlinear stability of periodic roll solutions in the real Ginzburg-Landau equation against C_{ub}^m-perturbations, Comm. Math. Phys. 400 (2023), pp. 277-314. DOI | preprint |
15. | D.E. Pelinovsky, B. de Rijk. Extinction of multiple shocks in the modular Burgers equation, Nonlinear Dynamics 111 (2023), pp. 3679-3687. DOI | preprint |
14. | M. Haragus, M.A. Johnson, W.R. Perkins, B. de Rijk. Nonlinear modulational dynamics of spectrally stable Lugiato-Lefever periodic waves, Ann. Inst. H. Poincaré Anal. Non Linéaire 40 (2023), pp. 769-802. DOI | preprint |
13. | M. Engel, C. Kuehn, B. de Rijk. A traveling wave bifurcation analysis of turbulent pipe flow, Nonlinearity 35-11 (2022), pp. 5903-5937. DOI | preprint |
12. | R. Goh, B. de Rijk. Spectral stability of pattern-forming fronts in the complex Ginzburg-Landau equation with a quenching mechanism, Nonlinearity 35-1 (2022), pp. 170-244. DOI | preprint | github code repository |
11. | 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 |
10. | 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 |
9. | 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 |
8. | 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 |
7. | 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 |
6. | 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 |
5. | 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 |
4. | 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 |
