American Institute of Mathematical Sciences

July  2008, 10(1): 171-196. doi: 10.3934/dcdsb.2008.10.171

Multi-layer quasi-geostrophic equations of the ocean with delays

 1 Department of Mathematics, Florida International University, DM413B, University Park, Miami, Florida 33199, United States

Received  May 2007 Revised  December 2007 Published  April 2008

In this article, we study the multi-layer quasi-geostrophic equations of the ocean with delays. We prove the existence and uniqueness of the solutions to these equations when the external force contains some delays. We also discuss the asymptotic behavior of the solution and the stability of the stationary solutions. Furthermore, we prove in [20] the existence of an attractor for the model.
Citation: T. Tachim Medjo. Multi-layer quasi-geostrophic equations of the ocean with delays. Discrete & Continuous Dynamical Systems - B, 2008, 10 (1) : 171-196. doi: 10.3934/dcdsb.2008.10.171
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