A ‘horizontal’ hyper-diffusion three-dimensional thermocline planetary geostrophic model: well-posedness and long-time behaviour
نویسندگان
چکیده
1 Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USA 2 Department of Mathematics and Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697-3875, USA and Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel 3 Department of Mathematics, University of Southern California, Los Angeles, CA 90089-1113, USA
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A “horizontal” Hyper–diffusion 3−d Thermocline Planetary Geostrophic Model: Well-posedness and Long Time Behavior
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...
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