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The Cauchy problem for the system of Zakharov equations arising from ion-acoustic modes

Published online by Cambridge University Press:  14 November 2011

Guo Boling  and
Yuan Guangwei
Guo Boling
Affiliation:
Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, P.R. China
Yuan Guangwei
Affiliation:
Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, P.R. China
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Abstract

In this paper the initial value problem for a class of Zakharov equations arising from ion-acoustic modes is discussed. Without assuming the Cauchy data are small, we prove the existence and uniqueness of the global smooth solution for the problem via the so-called continuous method and delicate a priori estimates.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 4 , 1996 , pp. 811 - 820
Copyright
Copyright © Royal Society of Edinburgh 1996

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