| Sumario: | 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.
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