Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 93 === 　In this paper we will compare the following three partial differential equations: the linear heat equation, hyperbolic p-system and viscous p-system. The main point of the argument lies in the fundamental properties of solutions for these equations, especial...

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Main Authors:	Zhi-Yang Wang, 王志揚
Other Authors:	Wen-Ching Lien
Format:	Others
Language:	en_US
Published:	2005
Online Access:	http://ndltd.ncl.edu.tw/handle/49057441070441915531

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spelling	ndltd-TW-093NCKU55070042017-06-05T04:45:18Z http://ndltd.ncl.edu.tw/handle/49057441070441915531 Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System 線性熱方程,雙曲型p方程組,和黏滯性p方程組之解的比較 Zhi-Yang Wang 王志揚碩士國立成功大學數學系應用數學碩博士班 93 　In this paper we will compare the following three partial differential equations: the linear heat equation, hyperbolic p-system and viscous p-system. The main point of the argument lies in the fundamental properties of solutions for these equations, especially their regularity, large-time behaviors and decay rates. In addition, we also review and interpret some important results related to the three equations. Wen-Ching Lien 連文璟 2005 學位論文 ; thesis 25 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 93 === 　In this paper we will compare the following three partial differential equations: the linear heat equation, hyperbolic p-system and viscous p-system. The main point of the argument lies in the fundamental properties of solutions for these equations, especially their regularity, large-time behaviors and decay rates. In addition, we also review and interpret some important results related to the three equations.
author2	Wen-Ching Lien
author_facet	Wen-Ching Lien Zhi-Yang Wang 王志揚
author	Zhi-Yang Wang 王志揚
spellingShingle	Zhi-Yang Wang 王志揚 Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System
author_sort	Zhi-Yang Wang
title	Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System
title_short	Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System
title_full	Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System
title_fullStr	Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System
title_full_unstemmed	Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System
title_sort	comparison of solutions for the linear heat equation, hyperbolic p-system, and viscous p-system
publishDate	2005
url	http://ndltd.ncl.edu.tw/handle/49057441070441915531
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Comparison of Solutions for the Linear Heat Equation, Hyperbolic p-System, and Viscous p-System

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