Geodesic
On caustics associated with the linearized vorticity equation
Applications of Mathematics, Tome 43 (1998) no. 4, pp. 255-262

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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.
DOI : 10.1023/A:1023265821269
Classification : 34E20, 35Q35
Keywords: Linearized vorticity equation; caustics; turning points; WKB 
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Ivanova, Petya N.; Gorman, Arthur D. On caustics associated with the linearized vorticity equation. Applications of Mathematics, Tome 43 (1998) no. 4, pp. 255-262. doi: 10.1023/A:1023265821269

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