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Title: Interface dynamics in Hele-Shaw flows with centrifugal forces. Preventing cusp singularities with rotation
Author: Magdaleno Escar, Francesc Xavier
Rocco, Andrea
Casademunt i Viader, Jaume
Keywords: Dinàmica de fluids
Superfícies (Física)
Interfícies (Ciències físiques)
Fluid dynamics
Surfaces (Physics)
Interfaces (Physical sciences)
Issue Date: 2000
Publisher: The American Physical Society
Abstract: A class of exact solutions of Hele-Shaw flows without surface tension in a rotating cell is reported. We show that the interplay between injection and rotation modifies the scenario of formation of finite-time cusp singularities. For a subclass of solutions, we show that, for any given initial condition, there exists a critical rotation rate above which cusp formation is suppressed. We also find an exact sufficient condition to avoid cusps simultaneously for all initial conditions within the above subclass.
Note: Reproducció del document publicat a:
It is part of: Physical Review E, 2000, vol. 62, núm. 5, p. R5887-R5890
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ISSN: 0031-9007
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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