Dynamics of closed interfaces in two-dimensional Laplacian growth
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 chara...
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todo:paper_1063651X_v57_n3_p3063_PonceDawson2023-10-03T16:01:20Z Dynamics of closed interfaces in two-dimensional Laplacian growth Ponce Dawson, S. Mineev-Weinstein, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v57_n3_p3063_PonceDawson |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Ponce Dawson, S. Mineev-Weinstein, M. |
| spellingShingle |
Ponce Dawson, S. Mineev-Weinstein, M. Dynamics of closed interfaces in two-dimensional Laplacian growth |
| author_facet |
Ponce Dawson, S. Mineev-Weinstein, M. |
| author_sort |
Ponce Dawson, S. |
| title |
Dynamics of closed interfaces in two-dimensional Laplacian growth |
| title_short |
Dynamics of closed interfaces in two-dimensional Laplacian growth |
| title_full |
Dynamics of closed interfaces in two-dimensional Laplacian growth |
| title_fullStr |
Dynamics of closed interfaces in two-dimensional Laplacian growth |
| title_full_unstemmed |
Dynamics of closed interfaces in two-dimensional Laplacian growth |
| title_sort |
dynamics of closed interfaces in two-dimensional laplacian growth |
| url |
http://hdl.handle.net/20.500.12110/paper_1063651X_v57_n3_p3063_PonceDawson |
| work_keys_str_mv |
AT poncedawsons dynamicsofclosedinterfacesintwodimensionallaplaciangrowth AT mineevweinsteinm dynamicsofclosedinterfacesintwodimensionallaplaciangrowth |
| _version_ |
1807317002844372992 |