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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/61670

    Title: Nonlinear Hyperbolic Systems of Conservation Laws in Symmetric Space-Application to Shallow Water Equations
    Authors: 賴佳妤;Lai,Chia-yu
    Contributors: 數學系
    Keywords: 質量守恆律;非線性雙曲系統;對稱空間;淺水波方程;Conservation laws;Nonlinear hyperbolic systems;symmetric Space;shallow water equations
    Date: 2013-08-20
    Issue Date: 2013-10-08 15:26:19 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 在本論文中,在分析Shallow water equation 時,通常會先探討伴隨科氏力的三維Navier-Stokes Equation,接著會忽略垂直數度分布,將三維的Navier-Stokes Equation 推導成二維的Shallow water equation,並同乘以一個旋轉矩陣,使二維的Shallow water equation 消去source term。可在對稱空間中做座標轉換,進而使二維的Shallow water equation 成為一雙曲型系統的conservation laws。
    In this paper , we consider the following three dimension shallow water equations with Coriolis force then we derived the two dimension shallow water equation . And we transformed the two dimension shallow water equation 3by3 conservative system without source term . We can use the results in traditional hyperbolic systems of conservation laws to study the shock waves and rarefaction waves.
    Appears in Collections:[數學研究所] 博碩士論文

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