INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS

被引：0

作者：

You Shujun ^{[1
,2
]}

Guo Boling ^{[3
]}

Ning Xiaoqi ^{[2
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

[2] Huaihua Univ, Dept Math, Huaihua 418008, Peoples R China

[3] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 04期

关键词：

Zakharov equations; modified Zakharov equations; initial boundary value problem; existence of global solution; WELL-POSEDNESS; SYSTEM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the authors consider the existence and uniqueness of the solution to the initial boundary value problem for a class of modified Zakharov equations, prove the global existence of the solution to the problem by a priori integral estimates and Galerkin method.

引用

页码：1455 / 1466

页数：12

共 10 条

[1] Modified Zakharov equations for plasmas with a quantum correction [J].

Garcia, LG ;

Haas, F ;

de Oliveira, LPL ;

Goedert, J .

PHYSICS OF PLASMAS, 2005, 12 (01) :1-8

[2] On the existence and uniqueness of smooth solution for a generalized Zakharov equation [J].

Guo, Boling ;

Zhang, Jingjun ;

Pu, Xueke .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (01) :238-253

[3]

Linares F, 2009, ADV DIFFERENTIAL EQU, V14, P261

[4] THE CAUCHY PROBLEM FOR THE 3D ZAKHAROV-KUZNETSOV EQUATION [J].

Linares, Felipe ;

Saut, Jean-Claude .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 24 (02) :547-565

[5] Strange attractors on pseudospectral solutions for dissipative Zakharov equations [J].

Ma, SQ ;

Chang, QS .

ACTA MATHEMATICA SCIENTIA, 2004, 24 (03) :321-336

[6] From the Klein-Gordon-Zakharov system to the nonlinear Schrodinger equation [J].

Masmoudi, N ;

Nakanishi, K .

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2005, 2 (04) :975-1008

[7] Energy convergence for singular limits of Zakharov type systems [J].

Masmoudi, Nader ;

Nakanishi, Kenji .

INVENTIONES MATHEMATICAE, 2008, 172 (03) :535-583

[8] An improved local well-posedness result for the one-dimensional Zakharov system [J].

Pecher, Hartmut .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) :1440-1454

[9]

You S., 2009, NONLINEAR ANAL TMA, V71, P3571, DOI [10.1016/j.na.2009.01.234, DOI 10.1016/J.NA.2009.01.234]

[10]

Zakharov V. E., 1972, Soviet Physics - JETP, V35, P908

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