Global solutions for a two-phase Hele-Shaw bubble for a near-circular initial shape

DOI10.1080/17476933.2010.504835zbMath1236.35211arXiv0810.2980OpenAlexW2103746218MaRDI QIDQ5389564

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Publication date: 21 April 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2980

zbMATH Keywords

free boundary problemHele-Shaw problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items

On a Hele-Shaw flow problem with free and solid boundary components ⋮ Global Regularity for Gravity Unstable Muskat Bubbles ⋮ On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources ⋮ On a two-fluid Hele-Shaw problem with an elliptical interface ⋮ Well-posedness of two-dimensional hydroelastic waves with mass ⋮ The zero surface tension limit of two-dimensional interfacial Darcy flow ⋮ A moving boundary model motivated by electric breakdown. II: Initial value problem ⋮ Exact solutions to a Muskat problem with line distributions of sinks and sources

Cites Work

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• Global solutions for small data to the Hele-Shaw problem
• The long-time motion of vortex sheets with surface tension
• Unnamed Item

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