A note on Hamilton's principle for perfect fluids
1970 ◽
Vol 44
(1)
◽
pp. 19-31
◽
Keyword(s):
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.
2010 ◽
Vol 56
(197)
◽
pp. 497-513
◽
1955 ◽
Vol 51
(2)
◽
pp. 344-349
◽
1967 ◽
Vol 10
(1)
◽
pp. 37-42
◽
Keyword(s):
1992 ◽
Vol 59
(2S)
◽
pp. S224-S229
◽