Instabilities and singularities in Hele–Shaw flow

DOI10.1063/1.869795zbMath1185.76632OpenAlexW2083391438WikidataQ115182460 ScholiaQ115182460MaRDI QIDQ5755924

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

Publication date: 15 August 2007

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

Full work available at URL: https://doi.org/10.1063/1.869795

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Incompressible viscous fluids (76D99) Hydrodynamic stability (76E99)

Related Items (17)

Energy levels of steady states for thin-film-type equations ⋮ Symmetries, first integrals and phase planes of a third-order ordinary differential equation from thin film flow ⋮ The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow ⋮ Numerical investigation of a third-order ODE from thin film flow ⋮ Existence and uniqueness of analytic solution for Rayleigh-Taylor problem ⋮ 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 ⋮ Domain of convergence of perturbative solutions for Hele-Shaw flow near interface collapse ⋮ 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 ⋮ New dissipated energy and partial regularity for thin film equations ⋮ Boundary integral methods for multicomponent fluids and multiphase materials. ⋮ Singularity tracking for Camassa-Holm and Prandtl's equations ⋮ A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes ⋮ Topological reconfiguration in expanding Hele—Shaw flow ⋮ Singularity formation for Prandtl's equations ⋮ Analysis of complex singularities in high-Reynolds-number Navier–Stokes solutions

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