Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
Motivated by the boundary contributions to the wave-activity invariants and stability theorems of a class of Salmon’s L 1 -like Hamiltonian balance models, Arnold’s method is applied in this work to derive finite-amplitude wave-activity invariants and corresponding stability theorems for shallow water semigeostrophic (SWSG) dynamics. It is shown that the Jacobian term in the potential vorticity of the SWSG model affects the stability properties in two ways: it generates stability constraints in the interior, and it makes the stability condition of cyclonic shear of basic flow at boundaries inescapable even when Ripa’s “subsonic” condition is satisfied in the interior. The latter effect makes the stability properties of the SWSG model different from those of the L 1 -like Hamiltonian balance models for which the condition of cyclonic shear of basic flow on the boundaries is not necessary when Ripa’s “subsonic” condition is satisfied. The physical reason for this difference is given and the implications of the stability theorems are discussed.
Journal of the Atmospheric Sciences – American Meteorological Society
Published: Aug 11, 1997
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.