Abstract:
We study the process of two-dimensional Laplacian growth in the limit of zero-surface tension for cases with a closed interface around a growing bubble (exterior problem with circular geometry). Using the time-dependent conformal map technique we obtain a class of fingerlike solutions that are characterized by a finite number of poles. We find the conditions under which these solutions remain smooth for all times. These solutions allow the description of the system in terms of a finite number of ce:degrees of freedom, at least in the limit of zero-surface tension. We believe that, whenever they remain smooth, they can also be used as a nonlinear basis even when surface tension is included. © 1998 The American Physical Society.
Registro:
| Documento: |
Artículo
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| Título: | Dynamics of closed interfaces in two-dimensional Laplacian growth |
| Autor: | Ponce Dawson, S.; Mineev-Weinstein, M. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, University of Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Complex Systems Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, 87545, Mexico
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| Año: | 1998
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| Volumen: | 57
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| Número: | 3
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| Página de inicio: | 3063
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| Página de fin: | 3072
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| DOI: |
http://dx.doi.org/10.1103/PhysRevE.57.3063 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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| Título revista abreviado: | Phys Rev E.
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| ISSN: | 1063651X
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| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v57_n3_p3063_PonceDawson |
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Citas:
---------- APA ----------
Ponce Dawson, S. & Mineev-Weinstein, M.
(1998)
. Dynamics of closed interfaces in two-dimensional Laplacian growth. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 57(3), 3063-3072.
http://dx.doi.org/10.1103/PhysRevE.57.3063---------- CHICAGO ----------
Ponce Dawson, S., Mineev-Weinstein, M.
"Dynamics of closed interfaces in two-dimensional Laplacian growth"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 57, no. 3
(1998) : 3063-3072.
http://dx.doi.org/10.1103/PhysRevE.57.3063---------- MLA ----------
Ponce Dawson, S., Mineev-Weinstein, M.
"Dynamics of closed interfaces in two-dimensional Laplacian growth"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 57, no. 3, 1998, pp. 3063-3072.
http://dx.doi.org/10.1103/PhysRevE.57.3063---------- VANCOUVER ----------
Ponce Dawson, S., Mineev-Weinstein, M. Dynamics of closed interfaces in two-dimensional Laplacian growth. Phys Rev E. 1998;57(3):3063-3072.
http://dx.doi.org/10.1103/PhysRevE.57.3063
