Bifurcation, Geometric Phases and Control in Hamiltonian Systems and Fluid Dynamics. Final report Page: 4 of 5
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B. Principal Areas of Research and Expertise, Applied Dynamics, Fluid Dynamics,
C. Percentage of time. Approximately 15%.
D. Education. BA, Cambridge, 1974, PhD, Harvard, 1978
E. Employment History. Junior Fellow, Harvard Society of Fellows, 1978-1980, Uni-
versity of California, Berkeley, 1978-present.
F. Relevant Professional Societies and Honors. Editorial Board of Nonlinearity, and
of Fluid Dynamics Research. Member, APS. Alfred P. Sloan Research Fellow 1980-
84. Sc.D., University of Cambridge, 1994, JILA Visiting Fellow, 1996.
3 Additional Project Personnel
Project personnel during the duration of the grant were described in the annual
progress reports. During the final year no additional personnel were supported due
to lack of funds.
Collaborators at other Universities were not supported by these funds, but in-
clude Anthony Bloch, Gerhard Dangelmayr, J. Hettel, Darryl Holm, Keith Julien,
Vivien Kirk, P.S. Krishnaprasad, Hans-Peter Kruse, Adam Landsberg, Jeff Moehlis,
Robert Pierce, Michael Proctor, Tudor Ratiu, Genevieve Raugel, Jhrgen Scheurlc,
Mary Silber, Steve Tobias and Juri Toomre.
4 Project Overview
The following papers (in addition to those appearing in the annual progress reports)
wrapped up the project:
1. Kirk, V., J. E. Marsden and M. Silber, Branches of stable three-tori using
Hamiltonian methods in Hopf bifurcation on a rhombic lattice, Dyn. and
Stab. of Systems, vol. 11 (1996) pp. 267-302.
2. Kruse, H. P., A. Mahalov and J. E. Marsden, On the Hamiltonian structure
and threc-dimensional instabilities of rotating liquid bridges, Fluid Dyn. Re-
search, vol. 24 (1999) pp. 37-59.
3. Marsden, Ratiu and Raugel continue their work on shallow water approxima-
tions of the Euler equations, especially those on the two sphere. Some of the
results were announced in the paper of Marsden, Ratiu, and Raugel ,
"Equations d'Euler dans une coque spherique mince (Euler equations on a
Wd Iro:iO IEd ob- I -Znf
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Knobloch, Edgar & Marsden, Jerrold E. Bifurcation, Geometric Phases and Control in Hamiltonian Systems and Fluid Dynamics. Final report, report, July 12, 2000; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc718864/m1/4/: accessed September 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.