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

In: The Zakharov System and its Soliton Solutions

Author

Listed:
  • Boling Guo

    (Institute of Applied Physics and Computational Mathematics)

  • Zaihui Gan

    (Tianjin University, Center for Applied Mathematics)

  • Linghai Kong

    (Institute of Applied Physics and Computational Mathematics)

  • Jingjun Zhang

    (Jiaxing University, College of Mathematics, Physics and Information Engineering)

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].

Suggested Citation

  • Boling Guo & Zaihui Gan & Linghai Kong & Jingjun Zhang, 2016. "On the Existence, Blowup and Large Time Behavior of the Zakharov System," Springer Books, in: The Zakharov System and its Soliton Solutions, chapter 0, pages 21-127, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-2582-2_2
    DOI: 10.1007/978-981-10-2582-2_2
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