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A new conservation law of the shallow-water equations

✍ Scribed by Joseph Egger

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 357 KB
Volume: 120
Category: Article
ISSN: 0035-9009
DOI: 10.1002/qj.49712052012

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✦ Synopsis

Abstract

A new conservation law is derived from the inviscid shallow‐water equations. This law governs the spreading of a fixed quantity of fluid. The symmetries of the Lagrangian of shallow‐water flow are determined. The links of these symmetries to the new law and to other conservation laws are discussed.

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