Singularities in Hele--Shaw Flows Driven by a Multipole

DOI10.1137/S0036139900374192zbMath1057.76014OpenAlexW2040473491MaRDI QIDQ2783715

Qing Nie, Fei-Ran Tian

Publication date: 17 April 2002

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139900374192

zbMATH Keywords

surface tensionfinger tip

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible viscous fluids (76D45) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (7)

Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries ⋮ A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap ⋮ The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow ⋮ Optimal control by multipoles in the Hele-Shaw problem ⋮ Hele-Shaw flows with anisotropic surface tension ⋮ Local smoothing effect and existence for the one-phase Hele–Shaw problem with zero surface tension ⋮ An $L^1$ Penalty Method for General Obstacle Problems

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