Global existence and decay for solutions of the Hele-Shaw flow with injection

We study the global existence and decay to spherical equilibrium of Hele-Shaw flows with surface tension. We prove that without injection of fluid, perturbations of the sphere decay to zero exponentially fast. On the other hand, with a time-dependent rate of fluid injection into the Hele-Shaw cell,...

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Bibliographic Details
Main Authors: Cheng, C, Coutand, D, Shkoller, S
Format: Journal article
Language:English
Published: European Mathematical Society Publishing House 2012

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