Local and global well-posedness of stochastic Zakharov-Kuznetsov equation

被引：0

作者：

Ghany, Hossam. A. ^{[1
,2
]}

Hyder, Abd-Allah ^{[3
]}

机构：

[1] Helwan Univ, Dept Math, Cairo, Egypt

[2] Taif Univ, Dept Math, At Taif, Saudi Arabia

[3] Al Azhar Univ, Dept Engn Math, Cairo, Egypt

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 07期

关键词：

Stochastic; Well-Posedness; Zakharov-Kuznetsov; GENERALIZED KORTEWEG-DEVRIES; ILL-POSEDNESS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider the Cauchy problem for stochastic Zakharov-Kuznetsov equation forced by a random term of additive white noise type. We obtain a local existence and uniqueness result for the solution of this problem. Our proposed technique is based on employing Banach contraction principle method, fixed point theory, Fourier analysis and some basic inequalities. We also get global existence of solution in the function space Z(s)(T). Detailed computations and implemented examples are explicitly provided.

引用

页码：1332 / 1343

页数：12

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