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Mathematical Biosciences and Engineering, 2010, 7(2): 237-258. doi: 10.3934/mbe.2010.7.237.
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Morphological spatial patterns in a reaction diffusion model for metal growth
1. Dipartimento di Ingegneria dell’Innovazione, Università del Salento - Lecce, via per Monteroni, I-73100 Lecce
2. Dipartimento di Scienze Motorie e della Salute, Università di Cassino, Campus Folcara, Loc. S.Angelo, I-03043 Cassino
3. Dipartimento di Matematica, Università del Salento - Lecce, via per Arnesano, I-73100 Lecce
Received date: , Published date:
Keywords: Turing instability; pattern formation; electrodeposition; numerical simulations.
Citation: Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura. Morphological spatial patterns in a reaction diffusion model for metal growth. Mathematical Biosciences and Engineering, 2010, 7(2): 237-258. doi: 10.3934/mbe.2010.7.237
This article has been cited by:
- 1. Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura, Spatio-temporal organization in alloy electrodeposition: a morphochemical mathematical model and its experimental validation, Journal of Solid State Electrochemistry, 2013, 17, 2, 467, 10.1007/s10008-012-1945-7
- 2. Ivonne Sgura, Benedetto Bozzini, Deborah Lacitignola, Numerical approximation of Turing patterns in electrodeposition by ADI methods, Journal of Computational and Applied Mathematics, 2012, 236, 16, 4132, 10.1016/j.cam.2012.03.013
- 3. DEBORAH LACITIGNOLA, BENEDETTO BOZZINI, IVONNE SGURA, Spatio-temporal organization in a morphochemical electrodeposition model: Hopf and Turing instabilities and their interplay, European Journal of Applied Mathematics, 2015, 26, 02, 143, 10.1017/S0956792514000370
- 4. Alessandra Gianoncelli, Ivonne Sgura, Patrizia Bocchetta, Deborah Lacitignola, Benedetto Bozzini, High-lateral resolution X-ray fluorescence microspectroscopy and dynamic mathematical modelling as tools for the study of electrodeposited electrocatalysts, X-Ray Spectrometry, 2015, 44, 4, 263, 10.1002/xrs.2617
- 5. Benedetto Bozzini, Deborah Lacitignola, Claudio Mele, Ivonne Sgura, Coupling of Morphology and Chemistry Leads to Morphogenesis in Electrochemical Metal Growth: A Review of the Reaction-Diffusion Approach, Acta Applicandae Mathematicae, 2012, 10.1007/s10440-012-9725-z
- 6. Deborah Lacitignola, Benedetto Bozzini, Ivonne Sgura, Spatio-Temporal Organization in a Morphochemical Electrodeposition Model: Analysis and Numerical Simulation of Spiral Waves, Acta Applicandae Mathematicae, 2014, 132, 1, 377, 10.1007/s10440-014-9910-3
- 7. B Bozzini, M Amati, L Gregoratti, D Lacitignola, I Sgura, I Krastev, Ts Dobrovolska, Intermetallics as key to spiral formation in In–Co electrodeposition. A study based on photoelectron microspectroscopy, mathematical modelling and numerical approximations, Journal of Physics D: Applied Physics, 2015, 48, 39, 395502, 10.1088/0022-3727/48/39/395502
- 8. B. Bozzini, G. Gambino, D. Lacitignola, S. Lupo, M. Sammartino, I. Sgura, Weakly nonlinear analysis of Turing patterns in a morphochemical model for metal growth, Computers & Mathematics with Applications, 2015, 70, 8, 1948, 10.1016/j.camwa.2015.08.019
- 9. Ivonne Sgura, Benedetto Bozzini, XRF map identification problems based on a PDE electrodeposition model, Journal of Physics D: Applied Physics, 2017, 50, 15, 154002, 10.1088/1361-6463/aa5a1f
- 10. Ivonne Sgura, Amos S. Lawless, Benedetto Bozzini, Parameter estimation for a morphochemical reaction-diffusion model of electrochemical pattern formation, Inverse Problems in Science and Engineering, 2018, 1, 10.1080/17415977.2018.1490278
- 11. Benedetto Bozzini, Ivonne Sgura, Deborah Lacitignola, Claudio Mele, Mariapia Marchitto, Antonio Ciliberto, Prediction of Morphological Properties of Smart-Coatings for Cr Replacement, Based on Mathematical Modelling, Advanced Materials Research, 2010, 138, 93, 10.4028/www.scientific.net/AMR.138.93
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