A ``horizontal" hyper--diffusion $3-D$ thermocline planetary geostrophic model: well-posedness and long time behavior
偏微分方程分析
2009-11-10 v1
摘要
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.
引用
@article{arxiv.math/0307344,
title = {A ``horizontal" hyper--diffusion $3-D$ thermocline planetary geostrophic model: well-posedness and long time behavior},
author = {Chongsheng Cao and Edriss S. Titi and Mohammed Ziane},
journal= {arXiv preprint arXiv:math/0307344},
year = {2009}
}
备注
32 pages