A “horizontal” hyper–diffusion 3 − D thermocline planetary geostrophic model: wellposedness and long time behavior, Nonlinearity 17
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| Title: | A “horizontal” hyper–diffusion 3 − D thermocline planetary geostrophic model: wellposedness and long time behavior, Nonlinearity 17 |
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| Authors: | Chongsheng Cao, Edriss S. Titi, Mohammed Ziane |
| Contributors: | The Pennsylvania State University CiteSeerX Archives |
| Source: | http://arxiv.org/pdf/math/0307344v1.pdf. |
| Publication Year: | 2004 |
| Collection: | CiteSeerX |
| Description: | In this paper we study a three dimensional thermocline planetary geostrophic “horizontal” hyper–diffusion model of the gyre-scale midlatitude ocean. We show the global existence and uniqueness of the weak and strong solutions to this model. Moreover, we establish the existence of a finite dimensional global attractor to this dissipative evolution system. Preliminary computational tests indicate that our hyper–diffusion model does not exhibit any of the nonphysical instabilities near the literal boundary which are observed numerically in other models. AMS Subject Classifications: 35Q35, 65M70, 86A10. 1. |
| Document Type: | text |
| File Description: | application/pdf |
| Language: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.4897; http://arxiv.org/pdf/math/0307344v1.pdf |
| Availability: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.4897 http://arxiv.org/pdf/math/0307344v1.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: | edsbas.35514CCB |
| Database: | BASE |
Nájsť tento článok vo Web of Science | Abstract: | In this paper we study a three dimensional thermocline planetary geostrophic “horizontal” hyper–diffusion model of the gyre-scale midlatitude ocean. We show the global existence and uniqueness of the weak and strong solutions to this model. Moreover, we establish the existence of a finite dimensional global attractor to this dissipative evolution system. Preliminary computational tests indicate that our hyper–diffusion model does not exhibit any of the nonphysical instabilities near the literal boundary which are observed numerically in other models. AMS Subject Classifications: 35Q35, 65M70, 86A10. 1. |
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