Dissolution of plane surfaces by sources in potential flow

DOI10.1016/j.physd.2022.133549zbMath1504.35331OpenAlexW4300717105MaRDI QIDQ2104209

Yunshan Jiang, N. Robb McDonald

Publication date: 9 December 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2022.133549

zbMATH Keywords

conformal mappinginterfacesfree boundarydissolution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Conformal mappings of special domains (30C20) Free boundary problems for PDEs (35R35) Free-surface potential flows for incompressible inviscid fluids (76B07)

Cites Work

• Computation of Hele-Shaw free boundary problems near obstacles
• Fingering in Hele-Shaw cells
• An accurate numerical scheme for the contraction of a bubble in a Hele--Shaw cell
• Conformal mapping of some non-harmonic functions in transport theory
• Fingering instability in wildfire fronts
• Dissolution of a cylindrical disk in Hele-Shaw flow: a conformal-mapping approach
• Dissolution instability and roughening transition
• Asymmetric collapse by dissolution or melting in a uniform flow
• A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area
• Steady advection–diffusion around finite absorbers in two-dimensional potential flows

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