Symmetry analysis of rotating fluid

DOI10.1017/S1446181100009779zbMath1084.35062MaRDI QIDQ5693394

Xiaoda Ji, Zu-Chi Chen, Kamran Fakhar

Publication date: 26 September 2005

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

Lie theorysimilarity reductionBessel-type equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Solutions to PDEs in closed form (35C05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (2)

Exact solutions of a third-grade fluid flow on a porous plate ⋮ Lie symmetry analysis and some new exact solutions for rotating flow of a second-order fluid on a porous plate

Cites Work

• Non-linear diffusion of an axisymmetric thin liquid drop: group-invariant solution and conservation law
• Lie group analysis of creeping flow of a second grade fluid
• Exact flow of a third-grade fluid on a porous wall
• On Ekman and Hartmann boundary layers in a rotating fluid
• Unsteady multiple boundary layers on a porous plate in a rotating system
• Resonant oscillations of a porous plate in an electrically conducting rotating viscous fluid
• On a time-dependent motion of a rotating fluid
• Some aspects of time-dependent motion of a stratified rotating fluid
• The spin down of rotating stratified fluids
• On Unsteady Magnetohydrodynamic Boundary Layers in a Rotating Flow
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