메뉴 건너뛰기




Volumn 39, Issue 1-3, 2007, Pages 98-120

Gauge principle and variational formulation for ideal fluids with reference to translation symmetry

(1)  Kambe, Tsutomu a  

a IDS   (Japan)

Author keywords

Clebsch solution; Covariant derivative; Gauge principle; Ideal fluid; Translation symmetry; Variational principle

Indexed keywords

ENTROPY; EQUATIONS OF MOTION; FLOW MEASUREMENT; LAGRANGE MULTIPLIERS; THERMODYNAMICS; VARIATIONAL TECHNIQUES;

EID: 33847105941     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2006.09.002     Document Type: Article
Times cited : (14)

References (25)
  • 2
    • 33847135402 scopus 로고    scopus 로고
    • Arnold, V.I., 1966/1978. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications a l'hydrodynamique des fluides parfaits. Ann. Inst. Fourier (Grenoble) 16, 319-361; Mathematical Methods of Classical Physics, Appendix 2. Springer, Berlin.
  • 3
    • 0002407707 scopus 로고
    • A note on Hamilton's principle for perfect fluids
    • Bretherton F.P. A note on Hamilton's principle for perfect fluids. J. Fluid Mech. 44 (1970) 19-31
    • (1970) J. Fluid Mech. , vol.44 , pp. 19-31
    • Bretherton, F.P.1
  • 5
    • 84971113623 scopus 로고
    • The derivation of the equations of motion of an ideal fluid by Hamilton's principle
    • Herivel J.W. The derivation of the equations of motion of an ideal fluid by Hamilton's principle. Proc. Cambridge Phil. Soc. 51 (1955) 344-349
    • (1955) Proc. Cambridge Phil. Soc. , vol.51 , pp. 344-349
    • Herivel, J.W.1
  • 7
    • 0037799859 scopus 로고    scopus 로고
    • Gauge principle for flows of a perfect fluid
    • Kambe T. Gauge principle for flows of a perfect fluid. Fluid Dyn. Res. 32 (2003) 193-199
    • (2003) Fluid Dyn. Res. , vol.32 , pp. 193-199
    • Kambe, T.1
  • 8
    • 1542272545 scopus 로고    scopus 로고
    • Gauge principle and variational formulation for flows of an ideal fluid
    • Kambe T. Gauge principle and variational formulation for flows of an ideal fluid. Acta Mech. Sin. 19 (2003) 437-452
    • (2003) Acta Mech. Sin. , vol.19 , pp. 437-452
    • Kambe, T.1
  • 10
    • 0004168443 scopus 로고
    • Cambridge University Press, Cambridge
    • Lamb H. Hydrodynamics (1932), Cambridge University Press, Cambridge
    • (1932) Hydrodynamics
    • Lamb, H.1
  • 14
    • 33847133618 scopus 로고    scopus 로고
    • Lin, C.C., 1963. Hydrodynamics of helium II, in Liquid Helium. Proc. Int. Sch. Phys. Enrico Fermi XXI. Academic Press, NY, pp. 93-146.
  • 17
    • 33847095663 scopus 로고    scopus 로고
    • Noether, E., 1918. Invariante Variationsproblem. Klg-Ges. Wiss. Nach. Göttingen, Math. Physik Kl, 2, 235.
  • 19
    • 0023770258 scopus 로고
    • Hamiltonian fluid mechanics
    • Salmon R. Hamiltonian fluid mechanics. Ann. Rev. Fluid Mech. 20 (1988) 225-256
    • (1988) Ann. Rev. Fluid Mech. , vol.20 , pp. 225-256
    • Salmon, R.1
  • 20
    • 25444435950 scopus 로고
    • Variational aspects of relativistic field theories, with application to perfect fluids
    • Schutz B.F., and Sorkin R. Variational aspects of relativistic field theories, with application to perfect fluids. Ann. Phys. 107 (1977) 1-43
    • (1977) Ann. Phys. , vol.107 , pp. 1-43
    • Schutz, B.F.1    Sorkin, R.2
  • 21
    • 0002142650 scopus 로고
    • Variational principle in continuum mechanics
    • Seliger R.L., and Whitham G.B. Variational principle in continuum mechanics. Proc. Roy. Soc. A 305 (1968) 1-25
    • (1968) Proc. Roy. Soc. A , vol.305 , pp. 1-25
    • Seliger, R.L.1    Whitham, G.B.2
  • 22
    • 0000286944 scopus 로고
    • Mathematical principles of classical fluid mechanics
    • Flügge, and Truesdell C. (Eds), Springer, Berlin
    • Serrin J. Mathematical principles of classical fluid mechanics. In: Flügge, and Truesdell C. (Eds). Encyclopedia of Physics (1959), Springer, Berlin 125-263
    • (1959) Encyclopedia of Physics , pp. 125-263
    • Serrin, J.1
  • 24
    • 33847090910 scopus 로고    scopus 로고
    • Utiyama, R., 1978. Theory of General Relativity [in Japanese], Syokabo (Tokyo, Japan); Utiyama R 1956. Invariant theoretical interpretation of interaction. Phys. Rev. A 101, 1597-1607.
  • 25
    • 33847114099 scopus 로고    scopus 로고
    • Weinberg, S., 1995/1996. The Quantum Theory of Fields. vols. I and II. Cambridge University Press, Cambridge.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.