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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (4): 373-380.

• 论文 • 上一篇    下一篇

INHOMOGENEOUS INITIAL-BOUNDARY VALUE PROBLEM FOR GINZBURG-LANDAU EQUATIONS

杨灵娥1,2, 郭柏灵3, 徐海祥1   

  1. 1. Department of Mathematics, Foshan University, Foshan, Guangdong 528000, P. R. China;
    2. Graduate School, China Academy of Engineering Physics, Beijing 100088, P. R. China;
    3. Institute of Applied Physics and Computational Mathematics P. O. Box 8009, Beijing 100088, P. R. China
  • 收稿日期:2002-10-25 修回日期:2003-11-25 出版日期:2004-04-18 发布日期:2004-04-18

INHOMOGENEOUS INITIAL-BOUNDARY VALUE PROBLEM FOR GINZBURG-LANDAU EQUATIONS

YANG Ling-e1,2, GUO Bo-ling3, XU Hai-xiang1   

  1. 1. Department of Mathematics, Foshan University, Foshan, Guangdong 528000, P. R. China;
    2. Graduate School, China Academy of Engineering Physics, Beijing 100088, P. R. China;
    3. Institute of Applied Physics and Computational Mathematics P. O. Box 8009, Beijing 100088, P. R. China
  • Received:2002-10-25 Revised:2003-11-25 Online:2004-04-18 Published:2004-04-18

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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.

Abstract: 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.

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