On the Rayleigh-Plateau instability

作     者：Ali AL Riyabi Mohammed Boutat Sad Hilout 

作者机构：Laboratoire de MathématiquesUniversité de PoitiersBoulevard Marie et Pierre CurieTéléport 2BP 3017986962 Futuroscope Chasseneuil cedexFrance 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2012年第27卷第2期

页      面：127-138页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by LMCM created by Professor Mohamed Boulanouar and PLB-K Program 

主　　题：parabolic nonlinear partial differential equation initial boundary value problem local solution uniqueness stability. 

摘      要：In this paper,we study the surface instability of a cylindrical pore in the absence of *** instability is called the Rayleigh-Plateau *** consider the model developed by Spencer et al.[18],Kirill et al.[10]and Boutat et al.[2]in the case without *** obtain a nonlinear parabolic PDE of order *** show the local existence and uniqueness of the solution of this problem by using Faedo-Galerkin *** main results are the global existence of the solution and the convergence to the mean value of the initial data for long *** tests are also presented in this study.