課程資訊
課程名稱
 偏微分方程式論一
PARTIAL DIFFERENTIAL EQUATIONS (I) 
開課學期
 97-1 
授課對象
 理學院  數學研究所  
授課教師
 林長壽 
課號
 MATH7209 
課程識別碼
 221 M1350 
班次
  
學分
 3 
全/半年
 半年 
必/選修
 選修 
上課時間
 星期四2,3,4(9:10~12:10) 
上課地點
 共301 
備註
 總人數上限：50人 
  
課程簡介影片
 
核心能力關聯
 本課程尚未建立核心能力關連
課程大綱
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課程概述

This is a research oriented course. I will talk about the Navier-Stokes equations, in particular the regularity theorem of Serrin, the partial regularity theorem of Caffareilli-Kohn-Nirenberg, and more recent results due to Tsai, Sverak, Chen, Yau ... etc.. 

課程目標
 Navier-Stokes equations may be used to model weather, ocean currents and in the design of aircrafts etc.. They are also of great interest in pure mathematical research due to the difficulties in establishing the existence and regularities. The problem is included among the 7 $1000000 problems by the Clay Institute. This course intends to introduce interested students and young scholars to this fundamental research area. 
課程要求
 Students should be familiar with basic PDE theory of elliptic equations and Parabolic equations. 
預期每週課後學習時數
  
Office Hours
  
指定閱讀
  
參考書目
 The main references are the research articles written by those authors mentioned in the course contents. For the background material in PDE I recommend the texts by Evans and Gilbarg-Trudinger. 
評量方式
(僅供參考)
  
No.
項目
百分比
說明
1. 
 Midterm report and homework 
50% 
  
2. 
 Final report 
50% 
  
 
課程進度
週次
日期
單元主題