Björn de Rijk

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All published works

Action	Title	Year	Authors
+ PDF Chat	Nonlinear stability of periodic wave trains in the FitzHugh-Nagumo system against fully nonlocalized perturbations	2024	Joannis Alexopoulos Björn de Rijk
+ PDF Chat	On the Extinction of Multiple Shocks in Scalar Viscous Conservation Laws	2024	Jeanne Lin Dmitry E. Pelinovsky Björn de Rijk
+ PDF Chat	On the extinction of multiple shocks in scalar viscous conservation laws	2024	Jeanne Lin Dmitry E. Pelinovsky Björn de Rijk
+ PDF Chat	Long time behavior of small solutions in the viscous Klein-Gordon equation	2024	Louis Garénaux Björn de Rijk
+ PDF Chat	Moving Modulating Pulse and Front Solutions of Permanent Form in a FPU Model with Nearest and Next-to-Nearest Neighbor Interaction	2023	Bastian Hilder Björn de Rijk Guido Schneider
+ PDF Chat	Nonlinear Stability of Periodic Roll Solutions in the Real Ginzburg–Landau Equation Against $$C_{\textrm{ub}}^m$$-Perturbations	2023	Bastian Hilder Björn de Rijk Guido Schneider
+	Nonlinear Subharmonic Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves	2023	Mariana Hărăguş Mathew A. Johnson Wesley R. Perkins Björn de Rijk
+	Stability of coherent pattern formation through invasion in the FitzHugh-Nagumo system	2023	Montie Avery Paul Carter Björn de Rijk Arnd Scheel
+	Nonlinear modulational dynamics of spectrally stable Lugiato–Lefever periodic waves	2022	Mariana Hărăguş Mathew A. Johnson Wesley R. Perkins Björn de Rijk
+ PDF Chat	A traveling wave bifurcation analysis of turbulent pipe flow	2022	Maximilian Engel Christian Kuehn Björn de Rijk
+ PDF Chat	Extinction of multiple shocks in the modular Burgers’ equation	2022	Dmitry E. Pelinovsky Björn de Rijk
+	Nonlinear stability of periodic roll solutions in the real Ginzburg-Landau equation against $C_{\mathrm{ub}}^m$-perturbations	2022	Bastian Hilder Björn de Rijk Guido Schneider
+	Nonlinear stability and asymptotic behavior of periodic wave trains in reaction-diffusion systems against $C_{\mathrm{ub}}^2$-perturbations	2022	Björn de Rijk
+ PDF Chat	Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism	2021	Ryan Goh Björn de Rijk
+	Moving modulating pulse and front solutions of permanent form in a FPU model with nearest and next-to-nearest neighbor interaction	2021	Bastian Hilder Björn de Rijk Guido Schneider
+	A traveling wave bifurcation analysis of turbulent pipe flow	2021	Maximilian Engel Christian Kuehn Björn de Rijk
+	Nonlinear Modulational Dynamics of Spectrally Stable Lugiato-Lefever Periodic Waves	2021	Mariana Hărăguş Mathew A. Johnson Wesley R. Perkins Björn de Rijk
+	Moving modulating pulse and front solutions of permanent form in a FPU model with nearest and next-to-nearest neighbor interaction	2021	Bastian Hilder Björn de Rijk Guido Schneider
+	Validity of Whitham's modulation equations for dissipative systems with a conservation law -- Phase dynamics in a generalized Ginzburg-Landau system --	2021	T. Haas Björn de Rijk Guido Schneider
+ PDF Chat	Global existence and decay in multi-component reaction–diffusion–advection systems with different velocities: oscillations in time and frequency	2020	Björn de Rijk Guido Schneider
+	Corrigendum to “Diffusive stability against nonlocalized perturbations of planar wave trains in reaction–diffusion systems” [J. Differ. Equ. 265 (10) (2018) 5315–5351]	2020	Björn de Rijk Björn Sandstede
+	Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems	2020	Björn de Rijk Björn Sandstede
+ PDF Chat	Modulation Equations Near the Eckhaus Boundary: The KdV Equation	2020	T. Haas Björn de Rijk Guido Schneider
+	Global existence and decay in nonlinearly coupled reaction-diffusion-advection equations with different velocities	2019	Björn de Rijk Guido Schneider
+	Modulation equations near the Eckhaus boundary: the KdV equation	2018	T. Haas Björn de Rijk Guido Schneider
+ PDF Chat	Diffusive stability against nonlocalized perturbations of planar wave trains in reaction–diffusion systems	2018	Björn de Rijk Björn Sandstede
+ PDF Chat	Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation	2016	Björn de Rijk Arjen Doelman Jens D. M. Rademacher

Common Coauthors

Coauthor	Papers Together
Guido Schneider	10
Bastian Hilder	5
Björn Sandstede	3
T. Haas	3
Mariana Hărăguş	3
Wesley R. Perkins	3
Dmitry E. Pelinovsky	3
Mathew A. Johnson	3
Maximilian Engel	2
Christian Kuehn	2
Jeanne Lin	2
Jens D. M. Rademacher	1
Montie Avery	1
Arnd Scheel	1
Arjen Doelman	1
Louis Garénaux	1
Paul Carter	1
Joannis Alexopoulos	1
Ryan Goh	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analytic Semigroups and Optimal Regularity in Parabolic Problems	1995	Alessandra Lunardi	7
+	Diffusive mixing of periodic wave trains in reaction–diffusion systems	2011	Björn Sandstede Arnd Scheel Guido Schneider Hannes Uecker	7
+ PDF Chat	Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction–diffusion equations	2011	Mathew A. Johnson Kevin Zumbrun	6
+	Exponential dichotomies and transversal homoclinic points	1984	Kenneth J. Palmer	5
+ PDF Chat	Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation	2012	Mathew A. Johnson Pascal Noble L. Miguel Rodrigues Kevin Zumbrun	5
+ PDF Chat	Nonlinear Stability of Periodic Traveling-Wave Solutions of Viscous Conservation Laws in Dimensions One and Two	2011	Mathew A. Johnson Kevin Zumbrun	5
+ PDF Chat	Pointwise semigroup methods and stability of viscous shock waves	1998	Kevin Zumbrun Peter Howard	5
+ PDF Chat	Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case	2010	Mathew A. Johnson Kevin Zumbrun	5
+ PDF Chat	Nonlocalized Modulation of Periodic Reaction Diffusion Waves: Nonlinear Stability	2012	Mathew A. Johnson Pascal Noble L. Miguel Rodrigues Kevin Zumbrun	4
+ PDF Chat	Dichotomies in Stability Theory	1978	W. A. Coppel	4
+ PDF Chat	Nonlinear Stability at the Eckhaus Boundary	2018	Julien Guillod Guido Schneider Peter Wittwer Dominik Zimmermann	4
+ PDF Chat	Renormalization group and asymptotics of solutions of nonlinear parabolic equations	1994	Jean Bricmont A. Kupiainen Genghong Lin	4
+ PDF Chat	Renormalization Group and the Ginzburg-Landau equation	1992	Jean Bricmont A. Kupiainen	4
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry	3
+	Modulated modulation equations	1995	Aart van Harten	3
+ PDF Chat	Diffusive stability against nonlocalized perturbations of planar wave trains in reaction–diffusion systems	2018	Björn de Rijk Björn Sandstede	3
+	Stability of Travelling Waves	2002	Björn Sandstede	3
+	On the Stability of Periodic Travelling Waves with Large Spatial Period	2001	Björn Sandstede Arnd Scheel	3
+ PDF Chat	Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations	2013	Mathew A. Johnson Pascal Noble L. Miguel Rodrigues Kevin Zumbrun	3
+	Geometric singular perturbation theory for ordinary differential equations	1979	Neil Fenichel	3
+ PDF Chat	Nonlinear stability of source defects in the complex Ginzburg–Landau equation	2014	Margaret Beck Toan T. Nguyen Björn Sandstede Kevin Zumbrun	3
+ PDF Chat	Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation	2013	Blake Barker Mathew A. Johnson Pascal Noble L. Miguel Rodrigues Kevin Zumbrun	3
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+ PDF Chat	Mixing in Reaction-Diffusion Systems: Large Phase Offsets	2019	Sameer Iyer Björn Sandstede	3
+ PDF Chat	Periodic waves of the Lugiato–Lefever equation at the onset of Turing instability	2018	Lucie Delcey Mariana Hărăguş	2
+	Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations	2012	Martina Chirilus‐Bruckner Christopher Chong Oskar Prill Guido Schneider	2
+ PDF Chat	Nonlinear Evolution Equations and Analyticity. I	1986	Tosio Kato Kyûya Masuda	2
+ PDF Chat	Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours	2011	Christine R. Venney Johannes Zimmer	2
+ PDF Chat	Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation	2005	Zoran Grujić Henrik Kalisch Jerry L. Bona	2
+	Stability of undercompressive shock profiles	2005	Peter Howard Kevin Zumbrun	2
+	Asymptotic Behavior of Solutions to a Class of Diffusion‐Reaction Equations	1983	Konrad Gröger	2
+ PDF Chat	The rise of fully turbulent flow	2015	Dwight Barkley Baofang Song Mukund Vasudevan Grégoire Lemoult Marc Avila Björn Hof	2
+ PDF Chat	Analyticity of solutions of the Korteweg-de Vries equation	2004	Shigeo Tarama	2
+ PDF Chat	On the Generation of Stable Kerr Frequency Combs in the Lugiato--Lefever Model of Periodic Optical Waveguides	2019	Sevdzhan Hakkaev Milena Stanislavova Atanas Stefanov	2
+	Bifurcation analysis to the Lugiato–Lefever equation in one space dimension	2010	Tomoyuki Miyaji Isamu Ohnishi Yoshio Tsutsumi	2
+ PDF Chat	Stability of a stationary solution for the Lugiato-Lefever equation	2011	Tomoyuki Miyaji Isamu Ohnishi Yoshio Tsutsumi	2
+	Cahn-Hilliard Description of Secondary Flows of a Viscous Incompressible Fluid in an Unbounded Domain	1999	Guido Schneider	2
+	Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations	1995	Miguel Escobedo Howard A. Levine	2
+	Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields	1993	Gérard Iooss Marie-Christine Pérouème	2
+ PDF Chat	Nonlinear Stability of Viscous Roll Waves	2011	Mathew A. Johnson Kevin Zumbrun Pascal Noble	2
+	Modulating Pulse Solutions for a Class¶of Nonlinear Wave Equations	2001	M. D. Groves Guido Schneider	2
+	Bounds for the nonlinear Schrödinger approximation of the Fermi–Pasta–Ulam system	2010	Guido Schneider	2
+	Wave-solutions of reversible systems and applications	1982	Klaus Kirchgässner	2
+ PDF Chat	On nonexistence of global solutions of some semilinear parabolic differential equations	1973	Kantaro Hayakawa	2
+ PDF Chat	A reduction scheme for coupled multicomponent transport‐reaction problems in porous media: Generalization to problems with heterogeneous equilibrium reactions	2007	Serge Kräutle Peter Knabner	2
+	Global existence of small solutions to a class of nonlinear evolution equations	1985	Gustavo Ponce	2
+	Computing the Maslov index for large systems	2014	Margaret Beck Simon J. A. Malham	2
+	On the nonlinear stability of plane waves for the ginzburg‐landau equation	1994	Todd Kapitula	2
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	2
+	Stability of Periodic Solutions¶of Conservation Laws with Viscosity:¶Pointwise Bounds on the Green Function	2003	Myunghyun Oh Kevin Zumbrun	2