| Title:
|
On caustics associated with the linearized vorticity equation (English) |
| Author:
|
Ivanova, Petya N. |
| Author:
|
Gorman, Arthur D. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
43 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
255-262 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Linearized vorticity equation |
| Keyword:
|
caustics |
| Keyword:
|
turning points |
| Keyword:
|
WKB |
| MSC:
|
34E20 |
| MSC:
|
35Q35 |
| idZBL:
|
Zbl 0938.34048 |
| idMR:
|
MR1627993 |
| DOI:
|
10.1023/A:1023265821269 |
| . |
| Date available:
|
2009-09-22T17:58:15Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134389 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
