AN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITY
A three-layer model of baroclinic instability on a β-plane with Ekman layers on the interfaces and upper and lower bounding surfaces, is shown to support 2 unstable modes, having the same wavenumber but different phase speeds, on the stability boundary, when the basic state comprises non-linear shea...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
1982
|
| _version_ | 1797053852266004480 |
|---|---|
| author | Moroz, I Brindley, J |
| author_facet | Moroz, I Brindley, J |
| author_sort | Moroz, I |
| collection | OXFORD |
| description | A three-layer model of baroclinic instability on a β-plane with Ekman layers on the interfaces and upper and lower bounding surfaces, is shown to support 2 unstable modes, having the same wavenumber but different phase speeds, on the stability boundary, when the basic state comprises non-linear shear and density profiles. Evolution equations are derived using multiple scales and are shown to transform to the canonical equations for a co-dimension 2 double Hopf bifurcation. The implications of this are discussed. © 1982. |
| first_indexed | 2024-03-06T18:49:20Z |
| format | Journal article |
| id | oxford-uuid:0fa72b2a-6eff-401a-a9b0-459c39b5ac0a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:49:20Z |
| publishDate | 1982 |
| record_format | dspace |
| spelling | oxford-uuid:0fa72b2a-6eff-401a-a9b0-459c39b5ac0a2022-03-26T09:52:19ZAN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITYJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0fa72b2a-6eff-401a-a9b0-459c39b5ac0aEnglishSymplectic Elements at Oxford1982Moroz, IBrindley, JA three-layer model of baroclinic instability on a β-plane with Ekman layers on the interfaces and upper and lower bounding surfaces, is shown to support 2 unstable modes, having the same wavenumber but different phase speeds, on the stability boundary, when the basic state comprises non-linear shear and density profiles. Evolution equations are derived using multiple scales and are shown to transform to the canonical equations for a co-dimension 2 double Hopf bifurcation. The implications of this are discussed. © 1982. |
| spellingShingle | Moroz, I Brindley, J AN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITY |
| title | AN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITY |
| title_full | AN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITY |
| title_fullStr | AN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITY |
| title_full_unstemmed | AN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITY |
| title_short | AN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITY |
| title_sort | example of 2 mode interaction in a 3 layer model of baroclinic instability |
| work_keys_str_mv | AT morozi anexampleof2modeinteractionina3layermodelofbaroclinicinstability AT brindleyj anexampleof2modeinteractionina3layermodelofbaroclinicinstability AT morozi exampleof2modeinteractionina3layermodelofbaroclinicinstability AT brindleyj exampleof2modeinteractionina3layermodelofbaroclinicinstability |