Abstract
Verkley (1987, 1990) constructed modons on a sphere as models of atmospheric blocking phenomena. These are exact solitary wave solutions to the barotropic potential vorticity equation on a sphere. In this paper, the linear Liapunov stability of Verkley's 1987 modons is proved by means of Arnol'd's invariant, and moreover it is shown that Verkley's 1990 modons are linearly spectrally stable. In spite of the fact that Arnol'd's invariant does not exist for the 1990 modon, it is still possible for the 1990 modon to be proved linearly spectrally stable because of the fact that the 1990 modon is a limiting case of the 1987 modon.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
