Symmetry investigations on the incompressible stationary axisymmetric Euler equations with swirl

DOI10.1016/j.fluiddyn.2007.02.004zbMath1155.76387OpenAlexW1967007324MaRDI QIDQ5456467

Martin Oberlack, Silke Günther, Michael Frewer

Publication date: 7 April 2008

Published in: Fluid Dynamics Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fluiddyn.2007.02.004

zbMATH Keywords

integro-differential equationsEuler equationsaxisymmetric flowLie group analysisLie-algebralocal symmetriesnonlocal symmetriesBragg-Hawthorne equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (7)

Investigation of Lie symmetry and new solutions for highly dimensional non-elastic and elastic interactions between internal waves ⋮ Lie symmetry analysis and invariant solutions of 3D Euler equations for axisymmetric, incompressible, and inviscid flow in the cylindrical coordinates ⋮ A variational model for swirling flow states with stagnant region ⋮ Addendum to: Symmetry classification of quasi-linear PDE's. II: An exceptional case ⋮ Investigation of new solutions for an extended (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schif equation ⋮ New conservation laws of helically symmetric, plane and rotationally symmetric viscous and inviscid flows ⋮ Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity

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