On properties of the Navier--Stokes equations

DOI10.1016/S0096-3003(02)00408-3zbMath1032.76061OpenAlexW2065667449MaRDI QIDQ1405061

Hassan A. Zedan

Publication date: 25 August 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00408-3

zbMATH Keywords

similarity solutionsequation of statecompressible Navier-Stokes equationLie-group-based similarity method

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (1)

On some new exact solutions of incompressible steady state Navier-Stokes equations

Cites Work

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• The role of symmetries in solving differential equations
• Relationship between symmetries and conservation laws
• Exact solutions to the equations of perfect gases through Lie group analysis and substitution principles
• Group classification of the two-dimensional Navier-Stokes-type equations
• Solution of Navier-Stokes equations on non-staggered grid
• Symmetry groups of boundary layer equations of a class of non-Newtonian fluids
• Group analysis of ordinary differential equations and the invariance principle in mathematical physics (for the 150th anniversary of Sophus Lie)
• Classification of invariant solutions of the Boltzmann equation
• Application of weak equivalence transformations to a group analysis of a drift-diffusion model
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Nonlinear boundary value problems in science and engineering

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