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.
作者
邹冉
廖梦兰
Zou Ran;Liao Mengan(School of Mathematics,Hohai University,Nanjing 210098)
出处
《数学物理学报(A辑)》
北大核心
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)。
