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Exact matches for:

1. Bronski JC, Hur VM, Marangell R
Jared C Bronski, Vera Mikyoung Hur and Robert Marangell: Floquet theory and stability analysis for Hamiltonian PDEs, Nonlinearity, 37 (2024), no. 12, 125010 (42 pages).


2. Bradshaw-Hajek BH, Lizarraga I, Marangell R, Wechselberger M
Bronwyn H Bradshaw-Hajek, Ian Lizarraga, Robert Marangell and Martin Wechselberger: A geometric singular perturbation analysis of shock selection rules in composite regularized reaction-nonlinear diffusion models, SIAM Journal on Applied Dynamical Systems, 23 (2024), no. 3, 2099–2137.


3. Miller T, Tam AKY, Marangell R, Wechselberger M, Bradshaw-Hajek BH
Thomas Miller, Alexander K Y Tam, Robert Marangell, Martin Wechselberger, Bronwyn H Bradshaw-Hajek: Analytic shock-fronted solutions to a reaction-diffusion equation with negative diffusivity, Studies in Applied Mathematics, 153 (2024), no. 1, Paper No. e12685 (23 pages).


4. Bradshaw-Hajek BH, Lizarraga I, Marangell R, Wechselberger M
Bronwyn H. Bradshaw-Hajek, Ian Lizarraga, Robert Marangell, Martin Wechselberger: A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models, SIAM Journal on Applied Dynamical Systems, 23 (2024), no. 3, 2099–2137.


5. Lizarraga I, Marangell R
Ian Lizarraga and Robert Marangell: Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations, Physica D: Nonlinear Phenomena, 460 (2024), 134069 (16 pages).


6. Dullin HR, Marangell R
Holger R Dullin, Robert Marangell: An Evans function for the linearised 2D Euler equations using Hill’s determinant, Physica D, 457 (2024), no. January 2024, Article number 133954 (14 pages).


7. Cox G, Curran M, Latushkin Y, Marangell R
Graham Cox, Mitchell Curran, Yuri Latushkin and Robert Marangell: Hamiltonian Spectral Flows, The Maslov Index and the Stability of Waves in the Nonlinear Schrodinger Equation, SIAM Journal on Mathematical Analysis, 55 (2023), no. 5, 4998–5050.


8. Lizarraga I, Marangell R
Ian Lizarraga and Robert Marangell: Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation, Journal of Nonlinear Science, 33 (2023), no. 5, 71 pages.


9. Bradshaw-Hajek BH, Lizarraga I, Marangell R, Wechselberger M
Bronwyn Bradshaw-Hajek, Ian Lizarraga, Robert Marangell, Martin Wechselberger: A geometric singular perturbation analysis of regularised reaction-nonlinear diffusion models including shocks, Proceedings of 47th Sapporo Symposium on Partial Differential Equations, 47th Sapporo Symposium on Partial Differential Equations, S.I. Ei, N. Hamamuki, S. Jimbo, H. Kubo, H. Kuroda, Y. Liu, T. Ozawa, T. Sakajo, K. Tstaya (eds.), Hokkaido University, Sapporo, (2022), 53–64. ISBN 1348-4338.


10. Clarke WA, Marangell R, Perkins WR
William A Clarke, Robert Marangell, Wesley R Perkins: Rigorous justification of the Whitham modulation equations for equations of Whitham type, Studies in Applied Mathematics, 149 (2022), no. 2, 297–323.


11. Davis PN, van Heijster P, Marangell R, Rodrigo MR
Paige N Davis, Peter van Heijster, Robert Marangell, Marianito R Rodrigo: Traveling Wave Solutions in a Model for Tumor Invasion with the Acid-Mediation Hypothesis, Journal of Dynamics and Differential Equation, 34 (2022), no. 2, 1325–1347.


12. Baird TJ, Cornwell P, Cox G, Jones CKRT, Marangell R
Thomas J Baird, Paul Cornwell, Graham Cox, Christopher Jones and Robert Marangell: Generalized Maslov indices for non-Hamiltonian systems, SIAM Journal on Mathematical Analysis, 54 (2022), no. 2, 1623–1668.


13. Rahman N, Marangell R, Oelz D
Nizhum Rahman, Robert Marangell, Dietmar Oelz: Classification and stability analysis of polarising and depolarising travelling wave solutions for a model of collective cell migration, Applied Mathematics and Computation, 421 (2022), Article 126954 1 (9 pages).


14. Clarke WA, Marangell R
W A Clarke and R Marangell: Rigorous justification of the Whitham modulation theory for equations of NLS type, Studies in Applied Mathematics, 147 (2021), no. 2, 577–621.


15. Kairzhana A, Marangell R, Pelinovskya DE, Xiao KL
Adilbek Kairzhana, Robert Marangell, Dmitry E Pelinovskya, Ke Liang Xiao: Standing waves on a flower graph, Journal of Differential Equations, 271 (2021), 719–763.


16. Clarke WA, Marangell R
W A Clarke, Robert Marangell: A New Evans Function for Quasi-Periodic Solutions of theLinearised Sine-Gordon Equation, Journal of Nonlinear Science, 30 (2020), no. 6, 3421–3442.


17. Li Y, van Heijster P, Marangell R, Simpson MJ
Yifei Li, Peter van Heijster, Robert Marangell, Matthew J Simpson: Travelling wave solutions in a negative nonlineardiffusion–reaction mode, Mathematical Biology, 81 (2020), 1495–1522.


18. Lizarraga I, Marangell R, Wechselberger M
Ian Lizarraga, Robert Marangell, Martin Wechselberger: Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form, Journal of Nonlinear Science, 30 (2020), 3161–3198. MR4170322


19. Dullin HR, Latushkin Y, Marangell R, Vasudevan S, Worthington J
Holger Dullin, Yuri Latushkin, Robert Marangell, Shibi Vasudevan, Joachim Worthington: Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations, Communications on Pure and Applied Analysis, 19 (2020), no. 4, 2051–2079.


20. Harley K, van Heijster P, Marangell R, Pettet G, Roberts TV, Wechselberger M
Kristen E Harley, Peter van Heijster, Robert Marangell, Graeme J Pettet, Timothy V Roberts and Martin Wechselberger: (In)stability of travelling waves in a model of haptotaxis, SIAM Journal on Applied Mathematics, 80 (2020), no. 4, 1629–1653.


21. Davis PN, van Heijster P, Marangell R
P N Davis, P van Heijster, R Marangell: Spectral stability of travelling wave solutions in a Keller–Segel model, Applied Numerical Mathematics, 141 (2019), no. July 2019, 54 – 61.


22. Chan MH, Kim PS, Marangell R
Matthew H Chan, Peter S Kim, Robert Marangell: Stability of travelling waves in a Wolbachia invasion, Discrete and Continuous Dynamical Systems - Series B, 23 (2018), no. 2, 609–628.


23. Davis PN, van Heijster P, Marangell R
P N Davis, P van Heijster and R Marangell: Absolute instabilities of travelling wave solutions in a Keller–Segel model, Nonlinearity, 30 (2017), no. 11, 4029–4061.


24. Dullin HR, Marangell R, Worthington J
Holger R Dullin, Robert Marangell and Joachim Worthington: Instability of equilibria for the two-dimensional euler equations on the torus, SIAM Journal on Applied Mathematics, 76 (2016), no. 4, 1446–1470. MR3529742


25. Jones CKRT, Marangell R, Miller PD, Plaza RG
Christopher KRT Jones, Robert Marangell, Peter D Miller and Ramón G Plaza: On the Spectral and Modulational Stability of Periodic Wavetrains for Nonlinear Klein-Gordon Equations, Bulletin of the Brazilian Mathematical Society (New Series), 47 (2016), no. 2, 417–429. MR3514411


26. Marangell R, Miller PD
R Marangell, P D Miller: Dynamical Hamiltonian--Hopf instabilities of periodic traveling waves in Klein--Gordon equations, Physica D: Nonlinear Phenomena, 308 (2015), 87–93.


27. Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M
K. Harley, P. van Heijster, R. Marangell, G. Pettet, M. Wechselberger: Numerical computation of an Evans function for travelling waves, Mathematical Biosciences, 266 (2015), 36–51.


28. Jackson RK, Marangell R, Susanto H
R K Jackson, R Marangell, H Susanto: An Instability Criterion for Nonlinear Standing Waves on Nonzero Backgrounds, Journal of Nonlinear Science, 24 (2014), no. 6, 1177–1196.


29. Jones CKRT, Marangell R, Miller PD, Plazad RG
Christopher K.R.T. Jones, Robert Marangell, Peter D Miller, Ramón G Plazad: Spectral and modulational stability of periodic wavetrains for the nonlinear Klein--Gordon equation, Journal of Differential Equations, 257 (2014), no. 12, 4632–4703.


30. Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M
Kristen Harley, Peter van Heijster, Robert Marangell, Graeme Pettet, Martin Wechselberger: Novel solutions for a model of wound healing angiogenesis, Nonlinearity, 27 (2014), no. 12, 2975–3003.


31. Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M
K. Harley, P. van Heijster, R. Marangell, G. Pettet, M. Wechselberger: Existence of travelling wave solutions for a model of tumour invasion, SIAM Journal on Applied Dynamical Systems, 13 (2014), no. 1, 366–396.


32. Jones CKRT, Marangell R, Miller PD, Plaza RG
Christopher K R T Jones, Robert Marangell, Peter D Miller, Ramón G Plaza: On the stability analysis of periodic sine--Gordon traveling waves, Physica D, 251 (2013), 63–74.


33. Jones CKRT, Latushkin Y, Marangell R
C.K.R.T. Jones, Y. Latushkin, and R. Marangell: The Morse and Maslov indices for matrix Hill's equations, Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday, Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Providence, Rhode Island, (2013), 205–235. ISBN 978-0-8218-7574-2. MR3087908


34. Jones CKRT, Marangell R, Miller PD, Plaza RG
Christopher K R TJones, Robert Marangell, Peter D Miller, Ramón G Plaza: On the stability analysis of periodic sine--Gordon traveling waves, Physica D, 251 (2013), 63–74.


35. Jones CKRT, Marangell R
Christopher K R T Jones and Robert Marangell: The spectrum of travelling wave solutions to the sine-Gordon equation, Discrete and Continuous Dynamical Systems Series S, 5 (2012), no. 5, 925–937. MR2877356


36. Marangell R, Susanto H, Jones CKRT
R Marangell, H Susanto, C K R T Jones: Unstable gap solitons in inhomogeneous nonlinear Schrödinger equations, Journal of Differential Equations, 253 (2012), no. 4, 1191–1205. MR2925910


37. Marangell R, Rimanyi R
R Marangell and R Rimanyi: The general quadruple point formula, American Journal of Mathematics, 132 (2010), no. 4, 867–896.


Number of matches: 37