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

Boling Guo (), Zaihui Gan, Linghai Kong and Jingjun Zhang
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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

Chapter Chapter 2 in The Zakharov System and its Soliton Solutions, 2016, pp 21-127 from Springer

Abstract: 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].

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-2582-2_2

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DOI: 10.1007/978-981-10-2582-2_2

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