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On the Existence, Blowup and Large Time Behavior of the Zakharov System

  • Boling GuoEmail author
  • Zaihui Gan
  • Linghai Kong
  • Jingjun Zhang
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Abstract

We present in this book a wide-range survey of important topics on mathematical theories of Zakharov system Zakharov (Sov Phys JETP 35:908-914, 1972, [196]) established in 1972, with particular emphasis on various modern developments. It was Sulem and Sulem (C R Acad Sci Paris 289:173-176, 1979, [180]) who originally issued in the existence and uniqueness of global solutions to one dimensional Zakharov system. Global existence of the initial-boundary value problem for 1D Zakharov system was first obtained by Guo and Shen (Acta Math Appl Sin 3(5):310–324, 1982, [85].

Copyright information

© Springer Science+Business Media Singapore and Science Press 2016

Authors and Affiliations

  • Boling Guo
    • 1
    Email author
  • Zaihui Gan
    • 2
  • Linghai Kong
    • 1
  • Jingjun Zhang
    • 3
  1. 1.Institute of Applied Physics and Computational MathematicsBeijingChina
  2. 2.Center for Applied MathematicsTianjin UniversityTianjinChina
  3. 3.College of Mathematics, Physics and Information EngineeringJiaxing UniversityJiaxingChina

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