INVESTIGADORES
PONCE DAWSON Silvina Martha
artículos
Título:
Dynamics of Closed Interfaces in Laplacian Growth
Autor/es:
SILVINA PONCE DAWSON; MARK MINEEV-WEINSTEIN
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Referencias:
Año: 1998 vol. 57 p. 3063 - 3072
ISSN:
1063-651X
Resumen:
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 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.
