隨機偏微分方程之收斂速度與不變測度;Convergence Rate and Invariant Measures of Spdes

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:	[Department of Mathematics] Research Project

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