Existence of traveling wave solutions for a model of tumor invasion K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger SIAM Journal on Applied Dynamical Systems 13 (1), 366-396, 2014 | 48 | 2014 |
On the stability analysis of periodic sine–Gordon traveling waves CKRT Jones, R Marangell, PD Miller, RG Plaza Physica D: Nonlinear Phenomena 251, 63-74, 2013 | 42 | 2013 |
Spectral and modulational stability of periodic wavetrains for the nonlinear Klein–Gordon equation CKRT Jones, R Marangell, PD Miller, RG Plaza Journal of Differential Equations 257 (12), 4632-4703, 2014 | 39 | 2014 |
Localized standing waves in inhomogeneous Schrödinger equations R Marangell, CKRT Jones, H Susanto Nonlinearity 23 (9), 2059, 2010 | 30 | 2010 |
The Morse and Maslov indices for matrix Hill’s equations CKRT Jones, Y Latushkin, R Marangell Spectral analysis, differential equations and mathematical physics: a …, 2013 | 27 | 2013 |
Absolute instabilities of travelling wave solutions in a Keller–Segel model PN Davis, P van Heijster, R Marangell Nonlinearity 30 (11), 4029, 2017 | 26 | 2017 |
Travelling wave solutions in a negative nonlinear diffusion–reaction model Y Li, P Heijster, R Marangell, MJ Simpson Journal of Mathematical Biology 81 (6), 1495-1522, 2020 | 24 | 2020 |
Numerical computation of an Evans function for travelling waves K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger Mathematical biosciences 266, 36-51, 2015 | 22 | 2015 |
Novel solutions for a model of wound healing angiogenesis K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger Nonlinearity 27 (12), 2975, 2014 | 22 | 2014 |
Standing waves on a flower graph A Kairzhan, R Marangell, DE Pelinovsky, KL Xiao Journal of Differential Equations 271, 719-763, 2021 | 21 | 2021 |
The general quadruple point formula R Marangell, R Rimányi American journal of mathematics 132 (4), 867-896, 2010 | 21 | 2010 |
Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations R Marangell, H Susanto, C Jones Journal of Differential Equations 253 (4), 1191-1205, 2012 | 16 | 2012 |
The spectrum of travelling wave solutions to the Sine-Gordon equation C Jones, R Marangell Discrete and Continuous Dynamical Systems, Series S 5 (5), 2012 | 16 | 2012 |
Stability of traveling wave solutions of nonlinear dispersive equations of NLS type KP Leisman, JC Bronski, MA Johnson, R Marangell Archive for Rational Mechanics and Analysis 240, 927-969, 2021 | 15 | 2021 |
Dynamical Hamiltonian–Hopf instabilities of periodic traveling waves in Klein–Gordon equations R Marangell, PD Miller Physica D: Nonlinear Phenomena 308, 87-93, 2015 | 15 | 2015 |
(In) stability of Travelling Waves in a Model of Haptotaxis KE Harley, P Van Heijster, R Marangell, GJ Pettet, TV Roberts, ... SIAM Journal on Applied Mathematics 80 (4), 1629-1653, 2020 | 12 | 2020 |
An instability criterion for nonlinear standing waves on nonzero backgrounds RK Jackson, R Marangell, H Susanto Journal of Nonlinear Science 24, 1177-1196, 2014 | 11 | 2014 |
Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis PN Davis, P van Heijster, R Marangell, MR Rodrigo Journal of Dynamics and Differential Equations 34 (2), 1325-1347, 2022 | 10 | 2022 |
Instability of equilibria for the two-dimensional Euler equations on the torus HR Dullin, R Marangell, J Worthington SIAM Journal on Applied Mathematics 76 (4), 1446-1470, 2016 | 10 | 2016 |
Spectral stability of travelling wave solutions in a Keller–Segel model PN Davis, P van Heijster, R Marangell Applied Numerical Mathematics 141, 54-61, 2019 | 9 | 2019 |