Domain of convergence of perturbative solutions for Hele-Shaw flow near interface collapse

DOI10.1063/1.870139zbMath1149.76512OpenAlexW1994178916WikidataQ115182456 ScholiaQ115182456MaRDI QIDQ3543836

Raymond E. Goldstein, Michael J. Shelley, Adriana Pesci

Publication date: 5 December 2008

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fd12e0d77298698b7403f37fcc95177c6f9c4657

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (7)

Symmetries, first integrals and phase planes of a third-order ordinary differential equation from thin film flow ⋮ Numerical investigation of a third-order ODE from thin film flow ⋮ On the determination of the steady film profile for a non-Newtonian thin droplet ⋮ An investigation of an Emden-Fowler equation from thin film flow ⋮ Modeling pinchoff and reconnection in a Hele-Shaw cell. I. The models and their calibration ⋮ Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime ⋮ Boundary integral methods for multicomponent fluids and multiphase materials.

Cites Work

• Unnamed Item
• Numerical experiments on Hele Shaw flow with a sharp interface
• Nonlinear dynamics and breakup of free-surface flows
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• Stable and unstable singularities in the unforced Hele-Shaw cell
• The formation of drops through viscous instability
• Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion
• Instabilities and singularities in Hele–Shaw flow

This page was built for publication: Domain of convergence of perturbative solutions for Hele-Shaw flow near interface collapse