### 博碩士論文 100221009 完整後設資料紀錄

 DC 欄位 值 語言 DC.contributor 數學系 zh_TW DC.creator 張嘉宏 zh_TW DC.creator Chia-Hung Chang en_US dc.date.accessioned 2013-8-20T07:39:07Z dc.date.available 2013-8-20T07:39:07Z dc.date.issued 2013 dc.identifier.uri http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=100221009 dc.contributor.department 數學系 zh_TW DC.description 國立中央大學 zh_TW DC.description National Central University en_US dc.description.abstract 於此篇文章中我們考慮的是一個2 × 2退化的雙曲型守恆律系統，而我們考慮的這一個系統它的第二行方程式缺乏了對時間微分的項。本篇文章主要是研究這個系統的黎曼問題。我們將介紹一種疊代方式去建構這個系統的弱解。其中這些弱解的建構過程中是依據特徵線方法、Rankine-Hugonniot 條件以及分析上疊代方式而獲得。 zh_TW dc.description.abstract In this thesis, we consider a 2 × 2 degenerate hyperbolic system of conservation laws whose second equation does not have the term related to the time-derivative of unknowns. The Riemann problem of such conservation laws is studied. We introduce an iteration scheme to construct the weak solutions of the Riemann problem. The weak solutions are obtained based on the characteristic method, Rankine-Hugoniot condition for discontinuous solutions and the iteration to the elementary waves for homogeneous systems. en_US DC.subject 黎曼問題 zh_TW DC.subject Hyperbolic systems of conservation laws en_US DC.subject degenerate hyperbolic balance laws en_US DC.subject shcok waves en_US DC.subject rarefaction waves en_US DC.subject Riemann problem en_US DC.title An Iteration Method for the Riemann Problem of Some Degenerate Hyperbolic Balance Laws en_US dc.language.iso en_US en_US DC.type 博碩士論文 zh_TW DC.type thesis en_US DC.publisher National Central University en_US