Using a barotropic model, some aspects of the theory of multiple equilibria were investigated, namely, the genesis of multiple equilibria via bent resonance, and the properties of some of the linearly unstable low index solutions. / These studies were conducted using numerical models with a truncated spectral representation of the dependent variables, truncation that was determined in terms of its capacity to allow for nonlinear interactions. By means of a continuation algorithm, the stationary solutions of the potential vorticity equation were calculated for a number of regions of parameter space, allowing us to study the dependence of the steady solutions on an ensemble of parameters, including the geometry of the domain. / We can conclude that it is possible to observe the presence of more than one stable stationary solution for certain restricted regions of parameter space, but that in a majority of situations, only one solution is linearly stable. The latter, however, is not the only stable regime present since the unstable solution with the lowest zonal index is then surrounded by a stable periodic solution also of a low index type.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.75937 |
| Date | January 1988 |
| Creators | Gravel, Sylvie |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (Department of Meteorology.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 000910068, proquestno: AAINL52374, Theses scanned by UMI/ProQuest. |
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