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- W2003196180 abstract "Each of the conservation laws of the motion of a system of vortices in a two‐dimensional ideal fluid are shown to be uniquely associated with one of the symmetry transformations of the system, one of which can be a scale transformation. In the case of an infinite fluid with no boundaries the five symmetry transformations are: (a) two independent translations in space, (b) spatial rotations, (c) translation in time, and (d) the scale transformation t′ =e2ηt, z′k=eηzk, where η is real and zk are the positions of the vortices in the z plane. Two cases of reduced symmetry are examined: the upper half‐plane and the interior of the unit circle." @default.
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- W2003196180 date "1978-09-01" @default.
- W2003196180 modified "2023-10-17" @default.
- W2003196180 title "Ideal vortex motion in two dimensions: Symmetries and conservation laws" @default.
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- W2003196180 doi "https://doi.org/10.1063/1.523897" @default.
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