單一雙曲守恆律的柯西問題熵解整體存在性的一些引理; Some Lemmas for the Global Existence of Entropy Solutions to the Cauchy Problem of Single Dissipative Conservation Law

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/46469

Title:	單一雙曲守恆律的柯西問題熵解整體存在性的一些引理;Some Lemmas for the Global Existence of Entropy Solutions to the Cauchy Problem of Single Dissipative Conservation Law
Authors:	黃鵬翰;Peng-Han Huang
Contributors:	數學研究所
Keywords:	雙曲守恆律;初始值問題;中央差分網格;熵解;central difference scheme;initial value problem;hyperbolic conservation laws;entropy solutions
Date:	2011-01-19
Issue Date:	2011-06-04 15:57:37 (UTC+8)
Publisher:	國立中央大學
Abstract:	在這篇論文中，我們考慮一個單一耗散雙曲守恆律。我們研究這種守恆律的初始值問題。我們使用原本由O. Oleinik提供的分析來建立這種初始值問題其熵解整體存在性。 In this thesis we consider a single dissipative hyperbolic scalar conservation law. We study the initial value problem of such conservation law. We use the analysis originally provided by O. Oleinik to establish the global existence of entropy solutions for such initial value problem. In this thesis we will show some key lemmas to obtain the global existence results.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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