A NOTE ON HAMILTONS PRINCIPLE FOR PERFECT FLUIDS
A NOTE ON HAMILTONS PRINCIPLE FOR PERFECT FLUIDS
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DOI：
10.1017/s0022112070001660
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发表时间：
1970-01-01
影响因子：
3.7
通讯作者：
BRETHERTON, FP
中科院分区：
文献类型：
--
作者：
BRETHERTON, FP
A derivation is given of the Eulerian equations of motion directly from the Lagrangian formulation of Hamilton's principle. The circulation round a circuit of material particles of uniform entropy appears as a constant of the motion associated with the indistinguishability of fluid elements with equal density, entropy and velocity. A discussion is given of the Lin constraint, and it is pointed out that, for a barotropic fluid, the variational principle recently suggested by Seliger & Whitham does not permit velocity fields in which the vortex lines are knotted.
