Inhomogeneous initial-boundary value problem for Ginzburg-Landau equations

被引:1
作者
Yang Ling-e
Guo Bo-ling
Xu Hai-xiang
机构
[1] Foshan University,Department of Mathematics
[2] China Academy of Engineering Physics,Graduate School
[3] Institute of Applied Physics and Computational Mathematics,undefined
关键词
generalized Ginzburg-Landau equation; inhomogeneous initial-boundary value problem; weak solution; global existence; O175.2; Document code: A; 35Q35;
D O I
10.1007/BF02437520
中图分类号
学科分类号
摘要
Some integral identities of smooth solution of inhomogeneous initial boundary value problem of Ginzburg-Landau equations were deduced, by which a priori estimates of the square norm on boundary of normal derivative and the square norm of partial derivatives were obtained. Then the existence of global weak solution of inhomogeneous initial-boundary value problem of Ginzburg-Landau equations was proved by the method of approximation technique and a priori estimates and making limit.
引用
收藏
页码:373 / 380
页数:7
相关论文
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