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Global well-posedness and the classical limit of the solution for the quantum Zakharov system

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Abstract

In this paper, we study the quantum Zakharov system, which describes the nonlinear interaction between the quantum Langmuir and quantum ion-acoustic waves. The global well-posedness result of this system in the energy and above energy spaces is obtained in the case d = 1, 2, 3. Moreover, the classical limit behavior of the quantum Zakharov system is also investigated as the quantum parameter tends to zero.

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Authors and Affiliations

  1. Department of Information and Computation of Science, Guangxi University of Technology, Guangxi, 545006, China

    Yanfeng Guo

  2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang, 314001, China

    Jingjun Zhang

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

    Boling Guo

Authors
  1. Yanfeng Guo
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  2. Jingjun Zhang
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  3. Boling Guo
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Correspondence to Jingjun Zhang.

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Guo, Y., Zhang, J. & Guo, B. Global well-posedness and the classical limit of the solution for the quantum Zakharov system. Z. Angew. Math. Phys. 64, 53–68 (2013). https://doi.org/10.1007/s00033-012-0215-y

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  • DOI: https://doi.org/10.1007/s00033-012-0215-y

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