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

Magdaleno, FX, Rocco, A and Casademunt, J (2000) Interface dynamics in Hele-Shaw flows with centrifugal forces: Preventing cusp singularities with rotation Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 62. R5887-R5890.

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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. ©2000 The American Physical Society.

Item Type: Article
Authors :
NameEmailORCID
Magdaleno, FXUNSPECIFIEDUNSPECIFIED
Rocco, Aa.rocco@surrey.ac.ukUNSPECIFIED
Casademunt, JUNSPECIFIEDUNSPECIFIED
Date : November 2000
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 09:40
Last Modified : 17 May 2017 14:44
URI: http://epubs.surrey.ac.uk/id/eprint/824693

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