On caustics associated with Rossby waves

Arthur D. Gorman

Applications of Mathematics (1996)

  • Volume: 41, Issue: 5, page 321-328
  • ISSN: 0862-7940

Abstract

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Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.

How to cite

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Gorman, Arthur D.. "On caustics associated with Rossby waves." Applications of Mathematics 41.5 (1996): 321-328. <http://eudml.org/doc/32953>.

@article{Gorman1996,
abstract = {Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.},
author = {Gorman, Arthur D.},
journal = {Applications of Mathematics},
keywords = {Rossby waves; caustics; turning points; Lagrange manifold; WKB; Rossby waves; caustics; turning points; Lagrange manifolds},
language = {eng},
number = {5},
pages = {321-328},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On caustics associated with Rossby waves},
url = {http://eudml.org/doc/32953},
volume = {41},
year = {1996},
}

TY - JOUR
AU - Gorman, Arthur D.
TI - On caustics associated with Rossby waves
JO - Applications of Mathematics
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 5
SP - 321
EP - 328
AB - Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.
LA - eng
KW - Rossby waves; caustics; turning points; Lagrange manifold; WKB; Rossby waves; caustics; turning points; Lagrange manifolds
UR - http://eudml.org/doc/32953
ER -

References

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  9. Theorie des Perturbationes et Methodes Asymptotique, Dunod, Gauthier-Villars, Paris, 1972. (1972) 
  10. 10.1155/S0161171286000662, Int. J. Math. and Math. Sci. 9 (1986), 531–540. (1986) Zbl0613.34046MR0859121DOI10.1155/S0161171286000662
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