Artículo
Amster, P.; Kwong, M.K.; Rogers, C. "A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions" (2014) Nonlinear Analysis: Real World Applications. 16(1):120-131
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Abstract:
Existence, uniqueness, and multiplicity properties are established via a variational formulation for a Painlevé II model subject to radiation boundary conditions in two-ion electrodiffusion. Numerical experiments using an adapted shooting method are also presented to support the theoretical results. © 2013 Elsevier Ltd. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions |
| Autor: | Amster, P.; Kwong, M.K.; Rogers, C. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina IMAS-CONICET, Argentina Department of Applied Mathematics, Hong Kong Polytechnic University, Hunghom, Kowloon, Hong Kong Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia |
| Palabras clave: | Electrodiffusion; Numerical experiments; Painleve; Radiation boundary condition; Shooting methods; Variational formulation; Boundary conditions; Numerical methods; Diffusion |
| Año: | 2014 |
| Volumen: | 16 |
| Número: | 1 |
| Página de inicio: | 120 |
| Página de fin: | 131 |
| DOI: | http://dx.doi.org/10.1016/j.nonrwa.2013.09.011 |
| Título revista: | Nonlinear Analysis: Real World Applications |
| Título revista abreviado: | Nonlinear Anal. Real World Appl. |
| ISSN: | 14681218 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14681218_v16_n1_p120_Amster |
Referencias:
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- Volgin, V.M., Davydov, A.D., Ionic transport through ion-exchange and bipolar membranes (2005) J. Mombrane Sci., 259, pp. 110-121
- Mariani, M.C., Amster, P., Rogers, C., Dirichlet and periodic-type boundary value problems for Painlevé II (2002) J. Math. Anal. Appl., 265, pp. 1-11
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- Amster, P., Rogers, C., On boundary value problems in three-ion electrodiffusion (2007) J. Math. Anal. Appl., 333, pp. 42-51
- De Coster, C., Habets, P., Two-point boundary value problems: Lower and upper solutions (2006) Mathematics in Science and Engineering, 205. , Elsevier Amsterdam
- Amster, P., Vicchi, L., Rogers, C., Boundary value problems on the half-line for a generalised Painlevé II equation (2009) Nonlinear Anal., 71, pp. 149-154
- Amster, P., Kwong, M.K., Rogers, C., On a Neumann boundary value problem for the Painlevé II equation in two-ion electro-diffusion (2011) Nonlinear Anal., 74, pp. 2897-2907
- Amster, P., Kwong, M.K., Rogers, C., A Neumann boundary value problem in two-ion electro-diffusion with unequal valencies (2012) Discrete Contin. Dyn. Syst. Ser. B, 17, pp. 2299-2311
- Rogers, C., Bassom, A.P., Schief, W.K., On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation (1999) J. Math. Anal. Appl., 240, pp. 367-381
- Bass, L.K., Nimmo, J., Rogers, C., Schief, W.K., Electrical structures of interfaces. A Painlevé II model (2010) Proc. R. Soc. A., 466, pp. 2117-2136
- Bracken, A.J., Bass, L., Rogers, C., Bäcklund flux-quantization in a model of electrodiffusion based on Painlevé II (2012) J. Phys. A., 45, pp. 105-204
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Citas:
---------- APA ----------
Amster, P., Kwong, M.K. & Rogers, C. (2014) . A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions. Nonlinear Analysis: Real World Applications, 16(1), 120-131.http://dx.doi.org/10.1016/j.nonrwa.2013.09.011
---------- CHICAGO ----------
Amster, P., Kwong, M.K., Rogers, C. "A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions" . Nonlinear Analysis: Real World Applications 16, no. 1 (2014) : 120-131.http://dx.doi.org/10.1016/j.nonrwa.2013.09.011
---------- MLA ----------
Amster, P., Kwong, M.K., Rogers, C. "A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions" . Nonlinear Analysis: Real World Applications, vol. 16, no. 1, 2014, pp. 120-131.http://dx.doi.org/10.1016/j.nonrwa.2013.09.011
---------- VANCOUVER ----------
Amster, P., Kwong, M.K., Rogers, C. A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions. Nonlinear Anal. Real World Appl. 2014;16(1):120-131.http://dx.doi.org/10.1016/j.nonrwa.2013.09.011
