BIBLIOGRAPHY 419
- Guillemin, V. and S. Sternberg [1980] The moment map and collective motion,
Ann. of Phys. 1278 , 220-253. - Guillemin, V. and S. Sternberg [19 82 ] Convexity properties of the moment
map. Invent. Math. 67 , 491-513, 77 , 533-546. - Guillemin, V. and S. Sternberg [1984] Symplectic Techniques in Physics. Cam-
bridge University Press. - Guo, Y. and W.A. Strauss [1995a] Instability of periodic BGK equilibria.
Comm. Pure Appl. Math. 48 , 861- 894. - Guo, Y. and Strauss, W.A. [1995b] Nonlinear instability of double-humped
equilibria. Ann. Inst. H. Poincar Anal. Non Linaire 12 , 339-352.
103. Hamel, G. [1904] Die Lagrange-Eulerschen Gleichungen der Mechanik. Z. fur
Mathematik u. Physik 50 , 1- 57.
Hamel, G. [1949] Theoretische Mechanik, Springer-Verlag.
Holm, D.D. [1987] Hamiltonian dynamics and stability analysis of neutral
electromagnetic fluids with induction, Physica D 25 (1987) 261-287.
Holm, D.D. [19 96 ] Hamiltonian balance equations, Physica D, 98 (1996) 3 79-
Holm, D.D., S. Kouranbaeva, J.E. Marsden, T. Ratiu and S. Shkoller [1998],
Euler-Poincare equations for continuum theories on Riemannian manifolds.
In preparation.
Holm, D.D. and B .A. Kupershmidt [1983] Poisson brackets and Clebsch rep-
resentations for magnetohydrodynamics, multifluid plasmas, and elasticity.
Physica D 6 , 34 7-363.
Holm, D.D., J .E. Marsden , and T.S. Ratiu [1986] The Hamiltonian structure
of continuum mechanics in material, spatial and co nvective representations,
Seminaire de M athematiques superie, Les Presses de L ' Univ. de Montreal
100 , 11-122.
Holm, D. D., J.E. Marsden and T. Ratiu [1998a] The Euler-Poincare equations
and semidirect products with applications to continuum theories. Adv. in
Math. (to appear).
Holm, D. D., J.E. Marsden and T. Ratiu [1998b] The Euler-Poincare equa-
tions in geophysical fluid dynamics , in Proceedings of the Isaac Newton Insti-
tute Programme on the Mathematics of Atmospheric and Ocean Dynamics,
Cambridge University Press (to appear).
Holm, D.D., J.E. Marsden, T.S. Ratiu , and A. Weinstein [19 85 ] Nonlinear
stability of fluid and plasma equilibria, Phys. Rep. 123 , 1- 116.
Holm, D.D. and V. Zeitlin [1997] Hamilton's principle for quasigeostrophic
motion, In preparation.
Holmes, P., J. R. J enkins, and N. Leonard [1997] Dynamics of the Kirchhoff
equations I: coincident centers of gravity and buoyancy (preprint, Princeton
University).