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.
DOI :
10.21136/AM.1996.134329
Classification :
34E20, 35Q35, 86A10
Keywords: Rossby waves; caustics; turning points; Lagrange manifold; WKB
Keywords: Rossby waves; caustics; turning points; Lagrange manifold; WKB
@article{10_21136_AM_1996_134329,
author = {Gorman, Arthur D.},
title = {On caustics associated with {Rossby} waves},
journal = {Applications of Mathematics},
pages = {321--328},
publisher = {mathdoc},
volume = {41},
number = {5},
year = {1996},
doi = {10.21136/AM.1996.134329},
mrnumber = {1404544},
zbl = {0870.34059},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134329/}
}
TY - JOUR AU - Gorman, Arthur D. TI - On caustics associated with Rossby waves JO - Applications of Mathematics PY - 1996 SP - 321 EP - 328 VL - 41 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134329/ DO - 10.21136/AM.1996.134329 LA - en ID - 10_21136_AM_1996_134329 ER -
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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