擬線性波方程中片段線性初始值問題的整體Lipchitz連續解的; The Global Lipchitz Continuous Solutions to the Quasilinear Wave Equation with Peicewise Linear Initial Data

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7888

Title:	擬線性波方程中片段線性初始值問題的整體Lipchitz連續解的;The Global Lipchitz Continuous Solutions to the Quasilinear Wave Equation with Peicewise Linear Initial Data
Authors:	王世杰;Shih-Chieh Wang
Contributors:	數學研究所
Keywords:	擬線性波方程;守恆律;非線性平衡律;黎曼問題;Lex方法;Lax method;Riemann problems;Nonlinear balance laws;Quasilinear wave equations;Conservation laws
Date:	2007-11-16
Issue Date:	2009-09-22 11:08:12 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	在這篇論文裡面我們主要是對一些擬線性波方程研究Lipchitz連續解的總體存在性，藉著一次微分的假設當做新的未知數，我們重新把方程式寫成守衡律中的三乘三Hyberlbolic system，這個初始值問題對線性的初始值而言已經被解決了，解的一次微分的整體存在性是藉著Lex method 來建立的。 In this paper we study the global existence of Lipchitz continous solutions to the quasilinear wave equation. By letting the first derivatives as new unknowns, we rewrite the equation into a 3 by 3 hyperbolicsystem of conservation laws. The initial value problem of the ststem is studied for some linear initial data. The global existence of the first derivatives of solutions are established by Lex method.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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