S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws

Thesis

Chen, Chih-Yuan

Masters, 國立清華大學, 數學系

2011

Abstract

確切正解個數

S形分枝曲線

燃燒問題

阿瑞尼士

exact multiplicity

S-shaped bifurcation curve

combustion problem

Arrhenius

本論文共有五章。第一章為簡介。第二章為主要的結果，研究一燃燒問題的S形分枝曲線。第三章證明需要用到的引理。第四章為主定理的證明。第五章為一些重要的觀察。第六章為附錄，涵蓋一些細節的證明。

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Title: S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws
Translated title: S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws
Creators: Chen, Chih-Yuan
Contributors: Wang, Shin-Hwa (Advisor)
Awarding Institution: 國立清華大學, 數學系; Masters
Theses and Dissertations: Masters, 國立清華大學, 數學系
Language: English
Resource Type: Thesis
Date published: 2012