Selection of a Hele-Shaw Bubble via Exponential Asymptotics

DOI10.1137/18M1220868zbMath1430.76153arXiv1810.11639WikidataQ115525587 ScholiaQ115525587MaRDI QIDQ5213152

Christopher J. Lustri, Scott W. McCue, Christopher C. Green

Publication date: 31 January 2020

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

Full work available at URL: https://arxiv.org/abs/1810.11639

zbMATH Keywords

conformal mappingsmall surface tensionanalytic continuationHele-Shaw cellLaplace's equationStokes linesasymptotics beyond all ordersvelocity selection

Mathematics Subject Classification ID

Other free boundary flows; Hele-Shaw flows (76D27) Asymptotic representations in the complex plane (30E15) Moving boundary problems for PDEs (35R37)

Related Items

The interaction of multiple bubbles in a Hele-Shaw channel ⋮ Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation ⋮ The influence of invariant solutions on the transient behaviour of an air bubble in a Hele-Shaw channel ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS

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