On pressure-driven Hele–Shaw flow of power-law fluids

DOI10.1080/00036811.2021.1880570zbMath1500.76017OpenAlexW3126669498MaRDI QIDQ5867302

Salvador Manjate, John Fabricius, Peter Wall

Publication date: 13 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1880570

zbMATH Keywords

asymptotic solutionstress boundary conditionthin film flowp-Laplace equationde Rham operatorcylindrical obstacleBogovskii operatornonlinear Poiseuille flowthin domain Korn inequality

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (5)

Homogenization of the non-isothermal, non-Newtonian fluid flow in a thin domain with oscillating boundary ⋮ On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary ⋮ Unnamed Item ⋮ Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium ⋮ Error estimates for pressure-driven Hele-Shaw flow

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