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研究生:林建宏
研究生(外文):JIAN-HUNG LIN
論文名稱:對流型的非線性薛丁格方程的奇異極限
論文名稱(外文):Singular Limit of the Nonlinear Schrodinger Equation
指導教授:林琦焜林琦焜引用關係
指導教授(外文):Chi-Kun Lin
學位類別:碩士
校院名稱:國立成功大學
系所名稱:數學系應用數學碩博士班
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2005
畢業學年度:93
語文別:英文
論文頁數:20
中文關鍵詞:對流型的非線性薛丁格方程
外文關鍵詞:the convective NLS equation
相關次數:
  • 被引用被引用:0
  • 點閱點閱:154
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  • 下載下載:9
  • 收藏至我的研究室書目清單書目收藏:0
  這篇文章的目的是要去學習有關對流型的非線性薛丁格方程的奇異極限。首先,我們可以利用兩種不同的方法,去獲得對流型非線性薛丁格方程的一些守恆律。然後利用疊代的方法,在一段時間內,我們可以建立出古典解的局部存在性並且也可以把解的唯一性都證明完成。最後,我們去證明有關半古典解的極限。
 The purpose of this paper is to the study of singular limit for the convective NLS equation.
 First, we use two different methods to get conservation laws of the convective NLS equation.
 And then the local existence in time of the classical solutions can be established via an iteration method and the uniqueness of the solution is also proved.
 At last we prove the semiclassical limit of the solution.
Contents
1. Introduction 4
2. Hydrodynamical Structure of the NLS Equation 5
3. Local Smooth Solution 8
4. Semiclassical Limit of Smooth Solution 18
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