On caustics associated with the linearized vorticity equation
Petya N. Ivanova; Arthur D. Gorman
Applications of Mathematics (1998)
- Volume: 43, Issue: 4, page 255-262
- ISSN: 0862-7940
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topIvanova, Petya N., and Gorman, Arthur D.. "On caustics associated with the linearized vorticity equation." Applications of Mathematics 43.4 (1998): 255-262. <http://eudml.org/doc/33011>.
@article{Ivanova1998,
abstract = {The linearized vorticity equation serves to model a number of wave phenomena in geophysical fluid dynamics. One technique that has been applied to this equation is the geometrical optics, or multi-dimensional WKB technique. Near caustics, 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 determine an asymptotic solution of the linearized vorticity equation and to study associated wave phenomena on the caustic curve.},
author = {Ivanova, Petya N., Gorman, Arthur D.},
journal = {Applications of Mathematics},
keywords = {Linearized vorticity equation; caustics; turning points; WKB; linearized vorticity equation; caustics; turning points; WKB},
language = {eng},
number = {4},
pages = {255-262},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On caustics associated with the linearized vorticity equation},
url = {http://eudml.org/doc/33011},
volume = {43},
year = {1998},
}
TY - JOUR
AU - Ivanova, Petya N.
AU - Gorman, Arthur D.
TI - On caustics associated with the linearized vorticity equation
JO - Applications of Mathematics
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 4
SP - 255
EP - 262
AB - The linearized vorticity equation serves to model a number of wave phenomena in geophysical fluid dynamics. One technique that has been applied to this equation is the geometrical optics, or multi-dimensional WKB technique. Near caustics, 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 determine an asymptotic solution of the linearized vorticity equation and to study associated wave phenomena on the caustic curve.
LA - eng
KW - Linearized vorticity equation; caustics; turning points; WKB; linearized vorticity equation; caustics; turning points; WKB
UR - http://eudml.org/doc/33011
ER -
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