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Existence of weak solution for quantum Zakharov equations for plasmas model

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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.

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Authors and Affiliations

  1. Department of Mathematics, South China Agricultural University, Guangzhou, 510642, P. R. China

    Shao-mei Fang  (房少梅) & Ling-yu Jin  (金玲玉)

  2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P. R. China

    Bo-ling Guo  (郭柏灵)

Authors
  1. Shao-mei Fang  (房少梅)
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  2. Ling-yu Jin  (金玲玉)
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  3. Bo-ling Guo  (郭柏灵)
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Corresponding author

Correspondence to Ling-yu Jin  (金玲玉).

Additional information

Contributed by Bo-ling GUO

Project supported by the National Natural Science Foundation of China (Nos. 10871075 and 11101160) and the Natural Science Foundation of Guangdong Province of China (Nos. 9451064201003736 and 9151064201000040)

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Fang, Sm., Jin, Ly. & Guo, Bl. Existence of weak solution for quantum Zakharov equations for plasmas model. Appl. Math. Mech.-Engl. Ed. 32, 1339–1344 (2011). https://doi.org/10.1007/s10483-011-1504-7

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  • DOI: https://doi.org/10.1007/s10483-011-1504-7

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