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    NCU Institutional Repository > 理學院 > 數學系 > 研究計畫 >  Item 987654321/63224

    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/63224

    Title: 數學流體力學與調和分析方法之應用;Mathematical Fluid Mechanics and the Applications of Methods of Harmonic Analysis
    Authors: 林英杰
    Contributors: 國立中央大學數學系
    Keywords: 數學;物理
    Date: 2013-12-01
    Issue Date: 2014-03-17 14:21:58 (UTC+8)
    Publisher: 行政院國家科學委員會
    Abstract: 研究期間:10204~10307;In this project, we consider the well-posedness of a variety of models of mathematical fluid dynamics, and try to apply harmonic analysis methods to this class of problems. We will investigate the following interesting topics: In the first year, 1. Classical solution to the 2D generalized Benjamin-Bona-Mahony equation on upper half plane. 2. Critical thresholds in Euler-Poisson equations with pressure in spherical symmetric space-time. In the second year, 3. Local well-posedness of the compressible Navier-Stokes equations with density dependent viscosity in physical vacuum. 4. The global existence of weak solution to the shallow water equations.
    Relation: 財團法人國家實驗研究院科技政策研究與資訊中心
    Appears in Collections:[數學系] 研究計畫

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