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Inertial fractal sets for dissipative Zakharov system

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Abstract

[1] has proved that the dissipative Zakharov system has anε 2-weak compact attractor. In this paper, we further show that the dissipative Langmuir waves in plasmas admit an inertial fractal set of (ε 2,ε 1)-type. We also make the estimates on its fractal dimension and exponential attraction.

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Authors and Affiliations

  1. Department of Mathematics, Yunnan University, 650091, Kunming, China

    Dai Zhengde

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

    Guo Boling

Authors
  1. Dai Zhengde
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  2. Guo Boling
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Dai, Z., Guo, B. Inertial fractal sets for dissipative Zakharov system. Acta Mathematicae Applicatae Sinica 13, 279–288 (1997). https://doi.org/10.1007/BF02025883

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  • DOI: https://doi.org/10.1007/BF02025883

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