| 研究生: |
王志揚 Wang, Zhi-Yang |
|---|---|
| 論文名稱: |
線性熱方程,雙曲型p方程組,和黏滯性p方程組之解的比較 Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System |
| 指導教授: |
連文璟
Lien, Wen-Ching |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 數學系應用數學碩博士班 Department of Mathematics |
| 論文出版年: | 2005 |
| 畢業學年度: | 93 |
| 語文別: | 英文 |
| 論文頁數: | 25 |
| 中文關鍵詞: | 正則性 、長時間行為 、遞減速度 |
| 外文關鍵詞: | decay rate, regularity, large-time behavior |
| 相關次數: | 點閱:32 下載:1 |
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這篇論文中我們將要比較下列三個方程式:線性熱方程,雙曲型p方程組,和黏滯性p方程組。我們討論的重點在於這些方程式之解的基本性質,特別是其正則性,長時間行為,以及遞減速度。除此之外,我們也重新整理解釋與這三個方程相關的一些重要結果。
In this paper we will compare the following three partial differential equations: the linear heat equation, hyperbolic p-system and viscous p-system. The main point of the argument lies in the fundamental properties of solutions for these equations, especially their regularity, large-time behaviors and decay rates. In addition, we also review and interpret some important results related to the three equations.
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