English  |  正體中文  |  简体中文  |  全文筆數/總筆數 : 80990/80990 (100%)
造訪人次 : 41625333      線上人數 : 1944
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜尋範圍 查詢小技巧:
  • 您可在西文檢索詞彙前後加上"雙引號",以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋,建議至進階搜尋限定作者欄位,可獲得較完整資料
  • 進階搜尋
    NCU Institutional Repository > 理學院 > 數學系 > 研究計畫 >  Item 987654321/63142


    請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/63142


    題名: 大氣海洋與廣義相對論中的非線性守衡律研究;Nonlinear Balance Law and Waves for the Atmosphere, Ocean and General Relativity
    作者: 洪盟凱
    貢獻者: 國立中央大學數學系
    關鍵詞: 數學;大氣科學;海洋科學
    日期: 2012-12-01
    上傳時間: 2014-03-17 14:20:02 (UTC+8)
    出版者: 行政院國家科學委員會
    摘要: 研究期間:10108~10207;In this project, we study the following models arise in the atmosphere-ocean science and the general relativity: 1. Shallow water equations with the Coriolis force. 2. The oceanic rogue waves in generalized dispersive equations. 3. The compressible Euler equations in transonic flows. 4. The Einstein’s field equations in spherical symmetric space-time. For the first topic, we extend the generalized Glimm method to study the global existence of planar waves and stationary waves when the Coriolis force appears in the equations. For the second topic, we extend the results of Bona and Saut for the rogue waves theory to a more general dispersive equation. For the third topic, we use the combination of traditional Glimm scheme and the linearization technique to construct the approximate solution. Then we establish the global existence of the weak solution to Cauchy problem in transonic flows, which has remained open for a long time. To the last topic, we modify the operator splitting method for the conservation laws to show the global existence of shock wave solutions to the Einstein’s field equations in spherical symmetric space-time.
    關聯: 財團法人國家實驗研究院科技政策研究與資訊中心
    顯示於類別:[數學系] 研究計畫

    文件中的檔案:

    檔案 描述 大小格式瀏覽次數
    index.html0KbHTML269檢視/開啟


    在NCUIR中所有的資料項目都受到原著作權保護.

    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 ©   - 隱私權政策聲明