A note on multiple flow equilibria
dc.contributor.author | Jacobs, Stanley J. | en_US |
dc.date.accessioned | 2006-09-08T21:06:41Z | |
dc.date.available | 2006-09-08T21:06:41Z | |
dc.date.issued | 1989-12 | en_US |
dc.identifier.citation | Jacobs, S. J.; (1989). "A note on multiple flow equilibria." Pure and Applied Geophysics PAGEOPH 130(4): 743-749. <http://hdl.handle.net/2027.42/43139> | en_US |
dc.identifier.issn | 0033-4553 | en_US |
dc.identifier.issn | 1420-9136 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/43139 | |
dc.description.abstract | A set of ordinary differential equations describing a mechanical system subject to forcing and dissipation is considered. A topological argument is employed to show that if all time-dependent solutions of the governing equations are bounded, the equations admit N steady solutions, where N is a positive odd integer and where at least ( N −1)/2 of the steady solutions are unstable. The results are discussed in the context of atmospheric flows, and it is shown that truncated forms of the quasigeostrophic equations of dynamic meteorology and of Budyko-Sellers climate models satisfy the hypotheses of the theorem. | en_US |
dc.format.extent | 321862 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Birkhäuser-Verlag; Birkhäuser Verlag ; Springer Science+Business Media | en_US |
dc.subject.other | Geosciences | en_US |
dc.subject.other | Geophysics/Geodesy | en_US |
dc.subject.other | Dynamic Systems | en_US |
dc.subject.other | Multiple Equilibrium | en_US |
dc.subject.other | Stability | en_US |
dc.title | A note on multiple flow equilibria | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Atmospheric, Oceanic and Space Sciences | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Atmospheric, Oceanic, and Space Sciences, Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 48109, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/43139/1/24_2004_Article_BF00881609.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00881609 | en_US |
dc.identifier.source | Pure and Applied Geophysics PAGEOPH | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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