Theoretical-group analysis of the inviscid gravity currents
DOI10.1080/09720502.2010.10700707zbMath1317.86011OpenAlexW2041530352MaRDI QIDQ3008570
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Publication date: 22 June 2011
Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.connectjournals.com/file_html_pdf/813104H_355-376a.pdf
reductionLie symmetry groupsvariable inflowaxisymmetric shallow water equationsinviscid gravity currentsselfsimilarity solutions
Hydrology, hydrography, oceanography (86A05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Free-surface potential flows for incompressible inviscid fluids (76B07) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
Cites Work
- Unnamed Item
- Symmetry group classification for two-dimensional elastodynamics problems in nonlocal elasticity
- The similarity forms and invariant solutions of two-layer shallow-water equations
- Symmetry group analysis and similarity solutions of variant nonlinear long-wave equations
- Symmetry group analysis of Benney system and an application for shallow-water equations
- The solution of Navier equations of classical elasticity using Lie symmetry groups
- On symmetry group properties and general similarity forms of the Benney equations in the Lagrangian variables
- Lie symmetries and invariant solutions of the shallow-water equation
- Self‐Similarity and the Evaluation of Long‐Time Nonhydrostatic Effects in Compositionally Driven Gravity Flows in Deep Surroundings
- The approach to self-similarity of the solutions of the shallow-water equations representing gravity-current releases
- Self-similar solutions of the shallow-water equations representing gravity currents with variable inflow
- Self-similar gravity currents with variable inflow revisited: plane currents
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Symmetries and differential equations
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