메뉴 건너뛰기




Volumn 69, Issue 3, 2003, Pages 211-252

A practical form of Lagrange-Hamilton theory for ideal fluids and plasmas

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS; HAMILTONIANS; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; LINEAR ALGEBRA; MATHEMATICAL MODELS; PROBLEM SOLVING; VECTORS;

EID: 4243091770     PISSN: 00223778     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022377803002290     Document Type: Article
Times cited : (8)

References (27)
  • 1
    • 0023121161 scopus 로고
    • Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids
    • Abarbanel, H. D. I. and Holm, D. D. 1987 Nonlinear stability analysis of inviscid flows in three dimensions: incompressible fluids and barotropic fluids. Phys. Fluids. 30. 3869-3382.
    • (1987) Phys. Fluids. , vol.30 , pp. 3869-13382
    • Abarbanel, H.D.I.1    Holm, D.D.2
  • 3
    • 0002407707 scopus 로고
    • A note on Hamilton's principle for perfect fluids
    • Bretherton, F. B. 1970 A note on Hamilton's principle for perfect fluids. J. Fluid Mech. 44, 19-31.
    • (1970) J. Fluid Mech. , vol.44 , pp. 19-31
    • Bretherton, F.B.1
  • 4
    • 0002023531 scopus 로고    scopus 로고
    • Lagrangian reduction, the Euler-Poincaré equations and semidirect products
    • Cendra, H., Holm D. D., Marsden, J. E. and Ratiu, T. S. 1998 Lagrangian reduction, the Euler-Poincaré equations and semidirect products. AMS Transl. 186, 1-25.
    • (1998) AMS Transl. , vol.186 , pp. 1-25
    • Cendra, H.1    Holm, D.D.2    Marsden, J.E.3    Ratiu, T.S.4
  • 5
    • 0000115661 scopus 로고
    • Generalized Hamiltonian dynamics
    • Dirac, P. A. M. 1950 Generalized Hamiltonian dynamics. Canad. J. Math. 2, 129-148.
    • (1950) Canad. J. Math. , vol.2 , pp. 129-148
    • Dirac, P.A.M.1
  • 6
    • 17344365406 scopus 로고    scopus 로고
    • Variational principles for equilibrium states with plasma flow
    • Hameiri, E. 1998 Variational principles for equilibrium states with plasma flow. Phys. Plasmas 5, 3270-3281.
    • (1998) Phys. Plasmas , vol.5 , pp. 3270-3281
    • Hameiri, E.1
  • 7
    • 0009400355 scopus 로고    scopus 로고
    • Hamiltonian balance equations
    • Holm, D. D. 1996 Hamiltonian balance equations. Physica D 98, 379-414.
    • (1996) Physica D , vol.98 , pp. 379-414
    • Holm, D.D.1
  • 8
    • 0001971504 scopus 로고    scopus 로고
    • The Euler-Poincaré equations and semidirect products with applications to continuum theories
    • Holm, D. D., Marsden, J. E. and Ratiu, T. S. 1998a The Euler-Poincaré equations and semidirect products with applications to continuum theories. Adv. Math. 137, 1-81.
    • (1998) Adv. Math. , vol.137 , pp. 1-81
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.S.3
  • 11
    • 0009325513 scopus 로고    scopus 로고
    • Geometrical approach to fluid models
    • Kuvshinov, B. N. and Schep, T. J. 1997 Geometrical approach to fluid models. Phys. Plasmas 4, 537-550.
    • (1997) Phys. Plasmas , vol.4 , pp. 537-550
    • Kuvshinov, B.N.1    Schep, T.J.2
  • 12
    • 0030120605 scopus 로고    scopus 로고
    • A new Hamiltonian formulation for fluids and plasmas. Part 2. MHD models
    • Larsson, J. 1996 A new Hamiltonian formulation for fluids and plasmas. Part 2. MHD models. J. Plasma Phys. 55, 261-278.
    • (1996) J. Plasma Phys. , vol.55 , pp. 261-278
    • Larsson, J.1
  • 13
    • 0034243132 scopus 로고    scopus 로고
    • Practical use of a Lie algebra structure in non-dissipative fluid and plasma models
    • Larsson, J. 2000 Practical use of a Lie algebra structure in non-dissipative fluid and plasma models. J. Plasma Phys. 64, 155-178.
    • (2000) J. Plasma Phys. , vol.64 , pp. 155-178
    • Larsson, J.1
  • 15
    • 0032364496 scopus 로고    scopus 로고
    • Hamiltonian description of the ideal fluid
    • Morrison, P. J. 1998 Hamiltonian description of the ideal fluid. Rev. Mod. Phys. 70, 467-527.
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 467-527
    • Morrison, P.J.1
  • 16
    • 0000067611 scopus 로고
    • Noncanonical Hamiltonian density formulation of hydrodynamics and ideal magnetohydrodynamics
    • Morrison, P. J. and Greene, J. M. 1980 Noncanonical Hamiltonian density formulation of hydrodynamics and ideal magnetohydrodynamics. Phys. Rev. Lett. 45, 790-794.
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 790-794
    • Morrison, P.J.1    Greene, J.M.2
  • 17
    • 0028831666 scopus 로고
    • Ertel's potential vorticity theorem in physical oceanography
    • Müller, P. 1995 Ertel's potential vorticity theorem in physical oceanography. Rev. Qeophys. 33, 67-97.
    • (1995) Rev. Qeophys. , vol.33 , pp. 67-97
    • Müller, P.1
  • 18
    • 0002478835 scopus 로고
    • Lagrangian and Hamiltonian methods in magnetohydrodynamics
    • Newcomb, W. A. 1962 Lagrangian and Hamiltonian methods in magnetohydrodynamics. Nucl. Fusion. Suppl., Part 2, 451-463.
    • (1962) Nucl. Fusion. Suppl. , Issue.PART 2 , pp. 451-463
    • Newcomb, W.A.1
  • 20
    • 0039480163 scopus 로고    scopus 로고
    • Fluid element relabeling symmetry
    • Padhye, N. S. and Morrison, P. J. 1996 Fluid element relabeling symmetry. Phys. Lett. A 219, 287-292.
    • (1996) Phys. Lett. A , vol.219 , pp. 287-292
    • Padhye, N.S.1    Morrison, P.J.2
  • 21
    • 0020515138 scopus 로고
    • Practical use of Hamilton's principle
    • Salmon, R. 1983 Practical use of Hamilton's principle. J. Fluid Mech. 132, 431-444.
    • (1983) J. Fluid Mech. , vol.132 , pp. 431-444
    • Salmon, R.1
  • 22
    • 0023770258 scopus 로고
    • Hamiltonian fluid mechanics
    • Salmon, R. 1988 Hamiltonian fluid mechanics. Ann. Rev. Fluid Mech. 20, 225-256.
    • (1988) Ann. Rev. Fluid Mech. , vol.20 , pp. 225-256
    • Salmon, R.1
  • 23
    • 0002142650 scopus 로고
    • Variational principles in continuum mechanics
    • Seliger, R. L. and Whitham, G. B. 1968 Variational principles in continuum mechanics. Proc. R. Soc. (London) 305, 1-25.
    • (1968) Proc. R. Soc. (London) , vol.305 , pp. 1-25
    • Seliger, R.L.1    Whitham, G.B.2
  • 24
    • 0000024344 scopus 로고
    • Symmetries, conservatien laws, and Hamiltonian structure in geophysical fluid dynamics
    • Shepherd, T. G. 1990 Symmetries, conservatien laws, and Hamiltonian structure in geophysical fluid dynamics. Adv. Geophys. 32, 287-338.
    • (1990) Adv. Geophys. , vol.32 , pp. 287-338
    • Shepherd, T.G.1
  • 25
    • 0040718376 scopus 로고
    • Hamiltonian structure of two-fluid plasma dynamics
    • Spencer, R. G. and Kaufman, A. N. 1982 Hamiltonian structure of two-fluid plasma dynamics. Phys. Rev. A 25, 2437-2439.
    • (1982) Phys. Rev. A , vol.25 , pp. 2437-2439
    • Spencer, R.G.1    Kaufman, A.N.2
  • 26
    • 0027464079 scopus 로고
    • Invariants in dissipationless hydrodynamic media
    • Tur, A. V. and Yanovsky, V. V. 1993 Invariants in dissipationless hydrodynamic media. J. Fluid Mech. 248, 67-106.
    • (1993) J. Fluid Mech. , vol.248 , pp. 67-106
    • Tur, A.V.1    Yanovsky, V.V.2
  • 27
    • 0042449607 scopus 로고    scopus 로고
    • Hamiltonian formalism for nonlinear waves
    • Zakharov, V. E. and Kuznetsov, E. A. 1997 Hamiltonian formalism for nonlinear waves. Usp. Fiz. Nauk 40, 1087-1116.
    • (1997) Usp. Fiz. Nauk , vol.40 , pp. 1087-1116
    • Zakharov, V.E.1    Kuznetsov, E.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.