Nonlinear Balance Laws with Rotational Source Terms

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/61669

Title:	Nonlinear Balance Laws with Rotational Source Terms
Authors:	簡如杰;Jian,Ru-Jie
Contributors:	數學系
Keywords:	非線性雙曲型平衡律;淺水波方程;黎曼問題;旋轉效應;Nonlinear hyperbolic balance laws;shallow water equations;Riemann problem;rotational effect
Date:	2013-08-20
Issue Date:	2013-10-08 15:26:17 (UTC+8)
Publisher:	國立中央大學
Abstract:	在本篇論文中，我們探討了在旋轉效應下的非線性雙曲型平衡律，以及討論關於一維平衡律的黎曼問題。此非線性平衡律可以被轉換成沒有源項的系統，但是通量是一個未知及時間的函數。我們利用漸進展開的方法找出此黎曼問題的逼近解。接著，我們拓展此結果去探討伴隨科氏力作用的二維淺水波方程。我們介紹一些轉換方法利用其解對稱的特性，將二維的系統轉換成一維的系統。 In this thesis we study the nonlinear hyperbolic systems of balance laws with rotational effect. The Riemann problem for one-dimensional balance laws is considered. The nonlinear balance laws is transformed into a system without source, but the flux is a function of unknowns and time. The approximate solution of the Riemann problem is constructed by the technique of asymptotic expansion. We extend the results to the two-dimensional shallow water equations with Coriolis force. Some transformations are introduced to transform the two-dimensional system into an one-dimensional system due to the symmetry of solutions.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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