Lie group symmetry analysis for granular media stress equations

DOI10.1016/J.JMAA.2004.07.010zbMath1066.35077OpenAlexW2069780116WikidataQ58484812 ScholiaQ58484812MaRDI QIDQ705302

I. Kenneth Johnpillai, James M. Hill, Scott W. McCue

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.010

zbMATH Keywords

group-invariant solutionsAiry stress functionflow of Coulomb-Mohr granular materialsLie group symmetry analysis

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Granularity (74E20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Granular flows (76T25) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Uses Software

• DIMSYM

Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:4022133 The Differential Equation Q = 0 in which Q is a Quadratic form in y", y � , y having Meromorphic Coefficients]
• GRAVITY FLOW OF A GRANULAR MATERIAL IN COMPRESSION BETWEEN VERTICAL WALLS AND THROUGH A TAPERING VERTICAL CHANNEL
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• An exact parametric solution for granular flow in a converging wedge
• Non-dilatant double-shearing theory applied to granular funnel-flow in hoppers.

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