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    NCU Institutional Repository > 理學院 > 數學系 > 研究計畫 >  Item 987654321/84775

    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/84775

    Title: 隨機偏微分方程之收斂速度與不變測度;Convergence Rate and Invariant Measures of Spdes
    Authors: 須上苑
    Contributors: 數學系
    Keywords: 隨機熱傳導方程;隨機Allen-Cahn方程;不變測度;收斂速度;;Stochastic heat equations;stochastic Allen-Cahn equations;invariant measure;convergence rate.
    Date: 2020-12-08
    Issue Date: 2020-12-09 10:55:39 (UTC+8)
    Publisher: 科技部
    Abstract: 我們考慮隨機熱傳導方程,即熱傳導方程加一擾動項,在我們的前一項工作裡,我們證明了解收斂到零。我們希望能夠找到收斂的速度。另外我們也考慮隨機的Allen-Cahn方程式,對於擾動小的噪聲,希望能證明有兩個不同的不變測度。 ;We consider stochastic heat equation, namely a heat equation with a random noise. In our previous work, we have shown that the solution goes to zero. In this project we aim to find the convergence rate. Also we consider stochastic Allen-Cahn equation. We suspect that if the noise level is low, then there exist two invariant measures.
    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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