Workshops

Time periodic solutions of the primitive equations of the large-scale ocean

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Chun-Hsiung Hsia

2012-02-16
11:40:00 - 12:20:00

R101 , Astronomy and Mathematics Building

This is a joint work with Ming-Cheng Shiue. For several decades, concerning the long time behavior of fluid motion, the time periodic flows have become an important type of flow patterns. In 1959, Serrin proposed a very heuristic method for proving the existence of asymptotic stable periodic solutions of the Navier-Stokes equations with small periodic forcing terms under suitable assumptions. Namely, in such case, one may prove that every small ( in a suitable sense ) solution would converge to a time periodic solution ( with the same period as the non-trivial forcing term ). In this article, we shall take the advantage of Serrin's idea to prove the existence of time periodic solution for the 3- D primitive equation with suitable time periodic forcing condition. Some related asymptotic behaviors of the solutions are also demonstrated.

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