非線性守恆律的擾動Riemann 問題的古典解; Classical Solution to the Perturbed Riemann Problem of Scalar Nonlinear Balance Law

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題名:	非線性守恆律的擾動Riemann 問題的古典解;Classical Solution to the Perturbed Riemann Problem of Scalar Nonlinear Balance Law
作者:	周世偉;Shih-Wei Chou
貢獻者:	數學研究所
關鍵詞:	非線性黎曼問題;特徵線法;守恆律;Perturbed Riemann problems;Riemann problems;Nonlinear balance laws;Characteristic method;Conservation laws
日期:	2007-06-28
上傳時間:	2009-09-22 11:08:53 (UTC+8)
出版者:	國立中央大學圖書館
摘要:	在本文裡我們學習非線性守恆律的擾動Riemann 問題的古典解之廣域存在性,使用特徵線的方法去建立擾動的Riemann問題的古典解,而且經由擾動的Riemann問題的極限獲得Riemann 問題的解。 In this paper we study the global existence of classical solutions to the perturbed Riemann problem of scalar nonlinear balance law. The characteristic method is used to establish the existence of classical perturbed Riemann solutions. Moreover, the generalized solutions of Riemann problem to scalar balance law is obtained by taking the limit of perturbed Riemann solutions. Furthermore, we also obtain the self-similarity of generalized Riemann solutions (rarefaction waves) which enables us to apply Lax's method to the Riemann problem of scalar nonlinear balance laws.
顯示於類別:	[數學研究所] 博碩士論文

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