Time Periodic Solutions of the Primitive Equations of the Large-Scale Ocean
夏俊雄教授台灣大學數學系 下午 3:00–4:30 鴻經館 107 室摘要：
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 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.