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Chun-Hsiung Hsia

2011-10-21
13:30:00 - 15:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

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 Seerin'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.