Approximation of the Long-Time Dynamics of the Dynamical System Generated by the Ginzburg-Landau Equation  

作　　者：Cristina Tone Florentina Tone 

机构地区：[1]Department of Mathematics,University of Louisvlle,Louisille,KY 40292,USA [2]Department Mathematics and Statistics,University of West Florida,Pensacola,FL 32514,USA.

出　　处：《Communications in Mathematical Research》2023年第4期501-522,共22页数学研究通讯（英文版）

摘　　要：In this article we consider the(complex)Ginzburg-Landau equation,we discretize in time using the implicit Euler scheme,and with the aid of the discrete Gronwall lemma and of the discrete uniform Gronwall lemma we prove that the global attractors generated by the numerical scheme converge to the global attractor of the continuous system as the time-step approaches zero.

关 键 词：Ginzburg-Landau equation implicit Euler scheme long-time stability at-tractors 

分 类 号：O175[理学—数学]