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Nonlinear Processes in Geophysical Fluid Dynamics - A tribute to the scientific work of Pedro Ripa (Hardcover, 2003 ed.)
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Nonlinear Processes in Geophysical Fluid Dynamics - A tribute to the scientific work of Pedro Ripa (Hardcover, 2003 ed.)
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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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