The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations

碩士 === 東海大學 === 應用數學系 === 102 === This article concerns with the Riemann problem of conservation laws. Generally, there are infinitely many solutions to conservation laws, but only one solution satisfies the entropy condition. Therefore, we focus on the solution satisfying the entropy condition. Cha...

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Main Authors:	YE,SHU-QI, 葉書齊
Other Authors:	YANG,ZHI-XUAN
Format:	Others
Language:	zh-TW
Published:	2013
Online Access:	http://ndltd.ncl.edu.tw/handle/nz32n3

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spelling	ndltd-TW-102THU005070022019-05-15T21:03:30Z http://ndltd.ncl.edu.tw/handle/nz32n3 The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations 雙曲守恆系統的黎曼問題:以尤拉方程為例 YE,SHU-QI 葉書齊碩士東海大學應用數學系 102 This article concerns with the Riemann problem of conservation laws. Generally, there are infinitely many solutions to conservation laws, but only one solution satisfies the entropy condition. Therefore, we focus on the solution satisfying the entropy condition. Chapter 1-3 introduce the characteristic method for the scalar equation, shock waves, rarefaction waves, and entropy conditions. They are illustrated by the Burger equation. Chapter 4 considers the solution of the linear systems and explains the solution of the Riemann problem in the phase plane. Chapter 5 considers the nonlinear system, illustrated by the isothermal equation, which comes from the simplified Euler equations. YANG,ZHI-XUAN 楊智烜 2013 學位論文 ; thesis 49 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	碩士 === 東海大學 === 應用數學系 === 102 === This article concerns with the Riemann problem of conservation laws. Generally, there are infinitely many solutions to conservation laws, but only one solution satisfies the entropy condition. Therefore, we focus on the solution satisfying the entropy condition. Chapter 1-3 introduce the characteristic method for the scalar equation, shock waves, rarefaction waves, and entropy conditions. They are illustrated by the Burger equation. Chapter 4 considers the solution of the linear systems and explains the solution of the Riemann problem in the phase plane. Chapter 5 considers the nonlinear system, illustrated by the isothermal equation, which comes from the simplified Euler equations.
author2	YANG,ZHI-XUAN
author_facet	YANG,ZHI-XUAN YE,SHU-QI 葉書齊
author	YE,SHU-QI 葉書齊
spellingShingle	YE,SHU-QI 葉書齊 The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations
author_sort	YE,SHU-QI
title	The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations
title_short	The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations
title_full	The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations
title_fullStr	The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations
title_full_unstemmed	The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations
title_sort	riemann problems of the hyperbolic conservation law:illustrated by the euler equations
publishDate	2013
url	http://ndltd.ncl.edu.tw/handle/nz32n3
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The Riemann Problems of the Hyperbolic Conservation Law:Illustrated by the Euler Equations

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