Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 470-474.

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The Existence of Global Attractor for Zakharov Equations Arising from Ion-acoustic Modes 

  

  1. 1. Department of Mathematics, South China Agricultural University2. Institute of Applied Physics and Computational Mathematics 

  • Received:2008-10-23 Online:2011-09-30 Published:2023-04-24
  • About author:FANG Shao-mei(1964-), female, native of Huaibei, Anhui, a professor of South China Agricultural University, Ph.D., engages in PDE and dynamic system; QIU Hua(corresponding author)(1977-), male, native of Tengzhou, Shandong, a lecturer of South China Agricultural University, Ph.D., engages in nonlinear evolution equations; GUO Bo-ling(1936-), male, native of Longyan, Fujian, a researcher of Institute of Applied Physics and Computational Mathematics, a academician of the Chinese Academy of Sciences, engages in PDE and computational mathematics.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10871075); Supported by the Natural Science Foundation of Guangdong Province(9151064201000040,9451027501002564);

Abstract: In this paper, we consider the initial-boundary problem for Zakharov equations arising from ion-acoustic modes and obtain the existence of global attractor for the initial-boundary problem for Zakharov equations.

Key words: Zakharov equations, initial-boundary problem, priori estimate, global attractor

CLC Number: