复值Ginzburg-Landau方程组的无粘性极限  

The Inviscid Limit of the Ginzburg-Landau System

作　　者：邹冉 廖梦兰 Zou Ran;Liao Mengan(School of Mathematics,Hohai University,Nanjing 210098)

机构地区：[1]河海大学数学学院,南京210098

出　　处：《数学物理学报(A辑)》2025年第2期347-358,共12页Acta Mathematica Scientia

基　　金：国家自然科学基金(U2340221,12401290);江苏省自然科学基金(BK20230036,BK20221497,BK20230946)。

摘　　要：该文主要研究Ginzburg-Landau方程组的整体无粘性极限,其中初值属于L^(2)(R^(n))×L2(R^(n))或H1(R^(n))×H1(R^(n)).具体来说,研究Ginzburg-Landau方程组与非线性薛定谔方程组解的差值,利用能量估计对差值进行处理,从而得到Ginzburg-Landau方程组的无粘性极限是非线性薛定谔方程组的解.This paper mainly studies the global inviscid limit of the Ginzburg-Landau system while the initial data is taken in L^(2)(R^(n))×L^(2)(R^(n))or H^(1)(R^(n))×H^(1)(R^(n)).Specifically,we investigate the difference between the solution of the Ginzburg-Landau system and the nonlinear Schr?dinger system,and use energy estimate to deal with the difference.It is obtained that the inviscid limit of the solution of the Ginzburg-Landau system is the solution of the nonlinear Schr?dinger system.

关 键 词：Ginzburg-Landau方程组 无粘性极限 能量估计 薛定谔方程组 

分 类 号：O175.24[理学—数学]