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Nonlinear Processes in Geophysical Fluid Dynamics - A tribute to the scientific work of Pedro Ripa (Paperback, Softcover reprint of the original 1st ed. 2003)
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Nonlinear Processes in Geophysical Fluid Dynamics - A tribute to the scientific work of Pedro Ripa (Paperback, Softcover reprint of the original 1st ed. 2003)
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Thisvolumecontainsacollectionofpapersbyinternationalexpertsingeoph-
ical ?uid dynamics, based upon presentations at a colloquium held
in memory of Pedro Ripa on the ?rst anniversary of his untimely
death. They review or present recent developments in hydrodynamic
stability theory, Hamiltonian ?uid mechanics, balanceddynamics,
waves, vortices, generaloceanographyand the physical oceanography
of the Gulf ofCalifornia; all of them subjects in which Professor
Ripamadeimportant contributions. His work, but also his friendly
spiritandkindnesswerehighly regardedandappreciatedby colleagues and
students alike around the world. This book is a tribute to his
scienti?c legacy and constitutes a valuable reference for
researchers and graduate s- dents interested in geophysical and
general ?uid mechanics. Earlyin his career asa
physicaloceanographer, Pedro Ripa made two la- mark contributions
to geophysical ?uid dynamics. In 1981, he showed that the
conservation of the potential vorticity is related to the
invariance of the eq- tions of motion under the symmetry
transformationsof the labels that identify the ?uid particles. That
is, potential vorticity conservation is a consequence, via
Noether's theorem, of the particle re-labelling symmetry. Two years
later he published a paper entitled "General stability conditions
for zonal ?ows in a one-layer model on the beta-plane or the
sphere," where he established nec- sary conditions for stability in
the shallow water equations, nowadays known as "Ripa's Theorem. "
This is one of the very few Arnol'd-like stability con- tions that
goes beyond two-dimensional or quasi-geostrophic ?ow, and stands
alongside other famous stability criteria in making the foundations
of the ?eld.
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