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Interface dynamics in Hele-Shaw flows with centrifugal forces. Preventing cusp singularities with rotation

# metadata.dc.description.abstract[].value
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.

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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Interface dynamics in Hele-Shaw flows with centrifugal forces. Preventing cusp singularities with rotation