Gauge principle for flows of an ideal fluid

Fluid Dynamics Research

Volumn 32, Issue 5, 2003, Pages 193-199

  Kambe, Tsutomu ^a  

^a Institute of Dynamical Systems   (Japan)

Author keywords

Euler equation; Gauge theory; Ideal fluid; SO(3); Vorticity

Indexed keywords

ACOUSTIC WAVES; ELECTRODYNAMICS; EQUATIONS OF MOTION; MAGNETIC FIELD EFFECTS;

GAUGE PRINCIPLE;

FLOW OF FLUIDS;

EULER FLOW; FLOW ANALYSIS; LAGRANGIAN ANALYSIS; VORTICITY;

EID: 0037799859     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-5983(03)00027-3     Document Type: Article

References (17)

1. Berry, M. V., Chambers, R. G., Large, M. D., Upstill, C., & Walmsley, J. C. (1980). Wavefront dislocations in the Aharonov-Bohm effect and its water wave analogue. Eur. J. Phys., 1 154-162.
2. Bretherton, F. P. (1970). A note on Hamilton's principle for perfect fluids. J. Fluid Mech., 44 19-31.
3. Coste, C., Lund, F., & Umeki, M. (1999). Scattering of dislocated wave fronts by vertical vorticity and the Aharonov-Bohm effect. I. Shallow water. Phys. Rev. E, 60 4908-4916.
4. Eckert, C. (1960). Variation principles of hydrodynamics. Phys. Fluids, 3 421-427.
5. Frankel, T. (1997). The Geometry of Physics. Cambridge: Cambridge University Press.
6. Fujikawa, K., & Ui, H. (1986). Nuclear rotation, Nambu-Goldstone mode and Higgs mechanism. Prog. Theor. Phys., 75 997-1013.
7. Herivel, J. W. (1955). The derivation of the equations of motion of an ideal fluid by Hamilton's principle. Proc. Cambridge Phil. Soc., 51 344-349.
8. Kambe, T. (1986). Acoustic emissions by vortex motions. J. Fluid Mech., 173 643-666.
9. Kambe, T., 2003. Gauge principle and variational formulation of flows of an ideal fluid. Acta Mechanica Sinica, submitted for publication.
10. Kambe, T., & Minota, T. (1987). Acoustic waves emitted by a vortex ring passing near a circular cylinder. J. Sound Vibration, 119 509-528.
11. Kambe, T., & Mya Oo, U. (1981). Scattering of sound by a vortex ring. J. Phys. Soc. Jpn., 50 3507-3516.
12. Landau, L. D., & Lifshitz, E. M. (1975). The Classical Theory of Fields. Oxford: Pergamon Press.
13. Landau, L. D., & Lifshitz, E. M. (1987). Fluid Mechanics. Oxford: Pergamon Press.
14. Peshkin, M., & Tonomura, A. (1989). The Aharonov-Bohm Effect. Lecture Note in Physics, Vol. 340 Berlin: Springer.
15. Quigg, C. (1983). Gauge Theories of the Strong, Weak and Electromagnetic Interactions. Massachusetts: The Benjamin/Cummings Pub. Comp..
16. Serrin, J. (1959). Mathematical principles of classical fluid mechanics. In Flügge, Truesdell. (Ed.), Encyclopedia of Physics, 125-263. Berlin: Springer.
17. Umeki, M., & Lund, F. (1997). Spirals and dislocations in wave-vortex systems. Fluid Dyn. Res., 21 201-210.