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Lie group analysis of the axisymmetric flow

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Publication:1877975
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DOI10.1016/S0960-0779(03)00333-3zbMath1068.76071WikidataQ115337373 ScholiaQ115337373MaRDI QIDQ1877975

Shagufta Rani, Kamran Fakhar, Zu-Chi Chen

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)



Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)


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Lie group analysis of viscoelastic MHD aligned flow and heat transfer ⋮ Exact solutions of coupled nonlinear evolution equations ⋮ A note on solutions of an equation modelling arterial deformation ⋮ Lie symmetry analysis and some new exact solutions for rotating flow of a second-order fluid on a porous plate ⋮ Similarity reduction of a (3+1) Navier‐Stokes system



Cites Work

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  • Non-linear diffusion of an axisymmetric thin liquid drop: group-invariant solution and conservation law
  • Exact flow of a third-grade fluid on a porous wall
  • The infinitesimal group of the Navier-Stokes equations
  • Relationship between symmetries and conservation laws
  • Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
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