English  |  正體中文  |  简体中文  |  Items with full text/Total items : 66984/66984 (100%)
Visitors : 23157952      Online Users : 413
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version


    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:[數學研究所] 博碩士論文

    Files in This Item:

    File Description SizeFormat
    index.html0KbHTML337View/Open


    All items in NCUIR are protected by copyright, with all rights reserved.

    社群 sharing

    ::: Copyright National Central University. | 國立中央大學圖書館版權所有 | 收藏本站 | 設為首頁 | 最佳瀏覽畫面: 1024*768 | 建站日期:8-24-2009 :::
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback  - 隱私權政策聲明