Hamiltonian Fluid Dynamics

Encyclopedia of Mathematical Physics: Five-Volume Set

Volumn , Issue , 2004, Pages 593-600

  Morrison, P J ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID-DYNAMICS;

HAMILTONIANS;

EID: 85069985919     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B0-12-512666-2/00246-7     Document Type: Chapter

References (9)

1. Holm DD, Marsden JE, Ratiu TS The Euler-Poincaré equations and semidirect products with applications to continuum theories. Advance in Mathematics 1998, 137:1-81.
2. Kuznetzov EA, Zakharov VE Hamiltonian formalism for nonlinear waves. Usp. Fiz. Nauk 1997, 167:1137-1168.
3. Morrison PJ Poisson brackets for fluids and plasmas. Mathematical Methods in Hydrodynamics and Integrability in Dynamical Systems 1982, American Institute of Physics, New York, American Institute of Physics Conference Proceedings, No. 88. M. Tabor, Y. Treve (Eds.).
4. Morrison PJ Hamiltonian description of the ideal fluid. Reviews in Modern Physics 1998, 70:467-521.
5. Morrison PJ Hamiltonian and action principle formulations of plasma physics. Physics of Plasmas 2005, 12:1-13. 058102.
6. Morrison PJ, Greene JM Noncanonical Hamiltonian density formulation of hydrodynamics and ideal magnetohydrodynamics. Physical Review Letters 1980, 45:790-793. (E) (1982) 48: 569.
7. Salmon R Hamiltonian fluid mechanics. Annual Reviews of Fluid Mechanics 1988, 20:225-256.
8. Serrin J Mathematical principles of classical fluid mechanics. Handbuch der Physik 1959, 125-263. Springer, Berlin. S. Flügge (Ed.).
9. Shepherd TG Symmetries, conservation laws, and Hamiltonian structure in geophysical fluid dynamics. Advances in Geophysics 1990, 32:287-338.