Geodesic
On caustics associated with Rossby waves
Applications of Mathematics, Tome 41 (1996) no. 5, pp. 321-328

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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.
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.
DOI : 10.21136/AM.1996.134329
Classification : 34E20, 35Q35, 86A10
Keywords: Rossby waves; caustics; turning points; Lagrange manifold; WKB 
Gorman, Arthur D. On caustics associated with Rossby waves. Applications of Mathematics, Tome 41 (1996) no. 5, pp. 321-328. doi: 10.21136/AM.1996.134329
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