Approximate Solution of the Kuramoto-Shivashinsky Equation on an Unbounded Domain

作     者：Wael W.MOHAMMED 

作者机构：Department of MathematicsFaculty of ScienceMansoura University Department of MathematicsFaculty of ScienceHail University 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2018年第39卷第1期

页      面：145-162页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：supported by the Deanship of Scientific Research University of Hail KSA(No.0150258) 

主　　题：Multi-scale analysis Modulation equation Kuramoto-Shivashinsky equation Ginzburg-Landau equation 

摘      要：The main goal of this paper is to approximate the Kuramoto-Shivashinsky(K-S for short) equation on an unbounded domain near a change of bifurcation,where a band of dominant pattern is changing *** leads to a slow modulation of the dominant *** we consider PDEs with quadratic nonlinearities and derive rigorously the modulation equation,which is called the Ginzburg-Landau(G-L for short) equation,for the amplitudes of the dominating modes.