Forced two layer beta-plane quasi-geostrophic flow
| dc.contributor | Foias, Ciprian | |
| dc.creator | Onica, Constantin | |
| dc.date.accessioned | 2006-04-12T16:03:37Z | |
| dc.date.accessioned | 2017-04-07T19:51:03Z | |
| dc.date.available | 2006-04-12T16:03:37Z | |
| dc.date.available | 2017-04-07T19:51:03Z | |
| dc.date.created | 2005-12 | |
| dc.date.issued | 2006-04-12 | |
| dc.description.abstract | We consider a model of quasigeostrophic turbulence that has proven useful in theoretical studies of large scale heat transport and coherent structure formation in planetary atmospheres and oceans. The model consists of a coupled pair of hyperbolic PDE??s with a forcing which represents domain-scale thermal energy source. Although the use to which the model is typically put involves gathering information from very long numerical integrations, little of a rigorous nature is known about long-time properties of solutions to the equations. In the first part of my dissertation we define a notion of weak solution, and show using Galerkin methods the long-time existence and uniqueness of such solutions. In the second part we prove that the unique weak solution found in the first part produces, via the inverse Fourier transform, a classical solution for the system. Moreover, we prove that this solution is analytic in space and positive time. | |
| dc.identifier.uri | http://hdl.handle.net/1969.1/3164 | |
| dc.language.iso | en_US | |
| dc.publisher | Texas A&M University | |
| dc.subject | quasi-geostrophic | |
| dc.subject | existence and uniqueness | |
| dc.title | Forced two layer beta-plane quasi-geostrophic flow | |
| dc.type | Book | |
| dc.type | Thesis |