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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (10): 1339-1344.doi: https://doi.org/10.1007/s10483-011-1504-7

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Existence of weak solution for quantum Zakharov equations for plasmas model

 FANG Shao-Mei1, JIN Ling-Yu1, GUO Bo-Ling2   

  1. 1. Department of Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China
  • Received:2011-03-26 Revised:2011-07-31 Online:2011-10-09 Published:2011-10-09

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Abstract: Zakharov equations have a fairly abundant physical background. In this paper, the existence of the weak global solution for quantum Zakharov equations for the plasmas model is obtained by means of the Arzela-Ascoli theorem, Faedo-Galerkin methods, and compactness property.

2010 MSC Number: 

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