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A new conservation law of the shallow‐water equations
Author(s) -
Egger Joseph
Publication year - 1994
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49712052012
Subject(s) - conservation law , inviscid flow , shallow water equations , waves and shallow water , homogeneous space , flow (mathematics) , lagrangian , law , mathematics , geology , classical mechanics , mechanics , physics , mathematical analysis , geometry , political science , oceanography
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.