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Well-Posedness for a Two-Dimensional Modified Zakharov Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2012年01期
Page:
22-28
Research Field:
数学
Publishing date:

Info

Title:
Well-Posedness for a Two-Dimensional Modified Zakharov Equations
Author(s):
You Shujun1; 2; Ning Xiaoqi1
1.Department of Mathematics,Huaihua University,Huaihua 418008,China
Keywords:
modified Zakharov equations; Cauchy problem; global solution
PACS:
O175.29
DOI:
-
Abstract:
This paper considers the existence and uniqueness of the solution to the Cauchy problem for a class of modified Zakharov equation in ( 2 + 1) dimensions． By virtue of a priori integral estimates and Galerkin method，this paper establish global in time existence and uniqueness of the solution to the problem．

References:

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［2］ Garcia L G，Haas F，L P L de Oliveira，et al． Modified Zakharov equations for plasmas with a quantum correction［J］． Phys Plasmas，2005，12( 1) : 1-8．
［3］ Haas F，Shukla P K． Quantum and classical dynamics of Langmuir wave packets［J］． Phys Rev E，2009，79( 6) : 1-9．
［4］ Simpson G，Sulem C，Sulem P L． Arrest of Langmuir wave collapse by quantum effects［J］． Phys Rev E，2009，80( 5) : 1- 9．
［5］ Friedman A． Partial Differential Equations［M］． New York，Montreal Que，London: Holt，Reihart and Winston，Inc，1969．
［6］ Brezis H，Gallouet T． Nonlinear Schringer evolution equations［J］． Nonlinear Anal，1980，4( 4) : 677-681．

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Last Update: 2013-03-11