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Inhomogeneous initial-boundary value problem for Ginzburg-Landau equations

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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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Authors and Affiliations

  1. Department of Mathematics, Foshan University, Foshan, 528000, Guangdong, P.R. China

    Yang Ling-e & Xu Hai-xiang

  2. Graduate School, China Academy of Engineering Physics, 100088, Beijing, P.R. China

    Yang Ling-e

  3. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, 100088, Beijing, P. R. China

    Guo Bo-ling

Authors
  1. Yang Ling-e
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  2. Guo Bo-ling
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  3. Xu Hai-xiang
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Additional information

Biography: YANG Ling-e (1963≈), Professor, Doctor

Contributed by GUO Bo-ling

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Ling-e, Y., Bo-ling, G. & Hai-xiang, X. Inhomogeneous initial-boundary value problem for Ginzburg-Landau equations. Appl Math Mech 25, 373–380 (2004). https://doi.org/10.1007/BF02437520

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  • DOI: https://doi.org/10.1007/BF02437520

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2000 Mathematics Subject Classification

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