Forced two layer beta-plane quasi-geostrophic flow /
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| Format: | Thesis eBook |
| Language: | English |
| Published: |
[College Station, Tex.] :
[Texas A&M University],
[2006]
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| Online Access: | Link to OAK Trust copy |
| 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 hyperbolicPDE'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. |
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| Item Description: | "Major Subject: Mathematics" Title from author supplied metadata (automated record created on Apr. 14, 2006.) Vita. Abstract. Electronic resource. |
| Format: | Mode of access: World Wide Web. System requirements: World Wide Web access and Adobe Acrobat Reader. |
| Bibliography: | Includes bibliographical references. |