BBM與KdV方程初始邊界問題解的週期性; Eventual Periodicity of Solutions to the Linear Generalized BBM and KdV Equations in the Quarter Plane

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7944

Title:	BBM與KdV方程初始邊界問題解的週期性;Eventual Periodicity of Solutions to the Linear Generalized BBM and KdV Equations in the Quarter Plane
Authors:	陳滙勝;Hui-Sheng Chen
Contributors:	數學研究所
Keywords:	極限週期;線性BBM方程;線性KdV方程;linear KdV equation;linear BBM equation;Eventual periodicity
Date:	2008-06-14
Issue Date:	2009-09-22 11:09:46 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	在這篇論文，我們探討線性BBM和KdV方程對於初始邊界問題解的週期性。根據[10]的方法，我們對線性BBM和KdV方程作奇函數擴充及偶函數擴充並藉由傅利葉轉換求得BBM和KdV方程的解，最後並探討BBM和KdV方程的週期性。 In this paper we study the eventual periodicity of solutions to the initial-boundary value problem for the linear generalized BBM-Burgers and KdV-Burgers equation in the quarter plane with periodic boundary data and force term. We derive a representation formula for solutions to the equations by the Fourier transform thought the odd and even extension. Finial, we rigorously establish the eventual periodicity of these solutions.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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