Group properties are investigated for unsteady axisymmetric incompressible viscous flow by means of the kinematic approach of Pillow and Paull. The full symmetry group and Lie algebra for the original system of three partial differential equations is derived and is shown to be infinite dimensional. Further group reductions are possible and some solutions are constructed.
NUCCI, M.C. (1987). Group analysis for unsteady axisymmetric incompressible viscous flow (kinematic approach). JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 20, 5053-5059 [10.1088/0305-4470/20/15/021].
Group analysis for unsteady axisymmetric incompressible viscous flow (kinematic approach)
NUCCI, Maria Clara
1987
Abstract
Group properties are investigated for unsteady axisymmetric incompressible viscous flow by means of the kinematic approach of Pillow and Paull. The full symmetry group and Lie algebra for the original system of three partial differential equations is derived and is shown to be infinite dimensional. Further group reductions are possible and some solutions are constructed.File in questo prodotto:
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