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Arjen Doelman
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2020 – today
- 2023
- [j23]Eleanor Byrnes, Paul Carter, Arjen Doelman, Lily Liu:
Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model. J. Nonlinear Sci. 33(6): 107 (2023) - 2020
- [j22]Robbin Bastiaansen
, Martina Chirilus-Bruckner
, Arjen Doelman:
Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients. SIAM J. Appl. Dyn. Syst. 19(1): 1-57 (2020) - [j21]Robbin Bastiaansen
, Arjen Doelman, Frank van Langevelde, Vivi Rottschäfer:
Modeling Honey Bee Colonies in Winter Using a Keller-Segel Model With a Sign-Changing Chemotactic Coefficient. SIAM J. Appl. Math. 80(2): 839-863 (2020)
2010 – 2019
- 2018
- [j20]Arjen Doelman, Jens D. M. Rademacher, Björn de Rijk
, Frits Veerman:
Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit. SIAM J. Appl. Dyn. Syst. 17(2): 1833-1890 (2018) - [j19]Paul Carter
, Arjen Doelman:
Traveling Stripes in the Klausmeier Model of Vegetation Pattern Formation. SIAM J. Appl. Math. 78(6): 3213-3237 (2018) - 2017
- [j18]Lotte Sewalt, Arjen Doelman:
Spatially Periodic Multipulse Patterns in a Generalized Klausmeier-Gray-Scott Model. SIAM J. Appl. Dyn. Syst. 16(2): 1113-1163 (2017) - 2016
- [j17]Arjen Doelman, Peter van Heijster
, Feng Xie
:
A Geometric Approach to Stationary Defect Solutions in One Space Dimension. SIAM J. Appl. Dyn. Syst. 15(2): 655-712 (2016) - [j16]Björn de Rijk
, Arjen Doelman, Jens D. M. Rademacher:
Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation. SIAM J. Math. Anal. 48(1): 61-121 (2016) - 2015
- [j15]Martina Chirilus-Bruckner
, Arjen Doelman, Peter van Heijster
, Jens D. M. Rademacher:
Butterfly Catastrophe for Fronts in a Three-Component Reaction-Diffusion System. J. Nonlinear Sci. 25(1): 87-129 (2015) - 2014
- [j14]Arjen Doelman, Gurgen Hayrapetyan, Keith Promislow, Brian T. R. Wetton
:
Meander and Pearling of Single-Curvature Bilayer Interfaces in the Functionalized Cahn-Hilliard Equation. SIAM J. Math. Anal. 46(6): 3640-3677 (2014) - 2013
- [j13]Sjors van der Stelt, Arjen Doelman, Geertje Hek, Jens D. M. Rademacher:
Rise and Fall of Periodic Patterns for a Generalized Klausmeier-Gray-Scott Model. J. Nonlinear Sci. 23(1): 39-95 (2013) - [j12]Matt Holzer, Arjen Doelman, Tasso J. Kaper:
Existence and Stability of Traveling Pulses in a Reaction-Diffusion-Mechanics System. J. Nonlinear Sci. 23(1): 129-177 (2013) - [j11]Frits Veerman, Arjen Doelman:
Pulses in a Gierer-Meinhardt Equation with a Slow Nonlinearity. SIAM J. Appl. Dyn. Syst. 12(1): 28-60 (2013) - 2010
- [j10]Peter van Heijster
, Arjen Doelman, Tasso J. Kaper, Keith Promislow:
Front Interactions in a Three-Component System. SIAM J. Appl. Dyn. Syst. 9(2): 292-332 (2010)
2000 – 2009
- 2009
- [j9]Antonios Zagaris
, Arjen Doelman, N. N. Pham Thi, Ben P. Sommeijer:
Blooming in a Nonlocal, Coupled Phytoplankton-Nutrient Model. SIAM J. Appl. Math. 69(4): 1174-1204 (2009) - 2007
- [j8]Arjen Doelman, Tasso J. Kaper, Keith Promislow:
Nonlinear Asymptotic Stability of the Semistrong Pulse Dynamics in a Regularized Gierer-Meinhardt Model. SIAM J. Math. Anal. 38(6): 1760-1787 (2007) - 2006
- [j7]Margaret Beck, Arjen Doelman, Tasso J. Kaper:
A Geometric Construction of Traveling Waves in a Bioremediation Model. J. Nonlinear Sci. 16(4): 329-349 (2006) - 2004
- [j6]Arjen Doelman, Geertje Hek, Nienke Valkhoff:
Stabilization by slow diffusion in a real Ginzburg-Landau system. J. Nonlinear Sci. 14(3): 237-278 (2004) - [j5]Arjen Doelman, David Iron, Yasumasa Nishiura:
Destabilization of Fronts in a Class of Bistable Systems. SIAM J. Math. Anal. 35(6): 1420-1450 (2004) - 2003
- [j4]Arjen Doelman, Tasso J. Kaper:
Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations. SIAM J. Appl. Dyn. Syst. 2(1): 53-96 (2003) - 2002
- [j3]Arjen Doelman, Harmen van der Ploeg:
Homoclinic Stripe Patterns. SIAM J. Appl. Dyn. Syst. 1(1): 65-104 (2002) - 2001
- [j2]Arjen Doelman, Wiktor Eckhaus, Tasso J. Kaper:
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics. SIAM J. Appl. Math. 61(6): 2036-2062 (2001) - 2000
- [j1]Arjen Doelman, Tasso J. Kaper, Wiktor Eckhaus:
Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability. SIAM J. Appl. Math. 61(3): 1080-1102 (2000)
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