Approximation to the global solution of generalized Zakharov equations in R2

被引：0
|
作者：
You, Shujun [1 ]
机构：
[1] Huaihua Univ, Sch Math Sci, Huaihua, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Zakharov system; Generalized Zakharov equations; Approximation; BLOW-UP SOLUTIONS; WELL-POSEDNESS; KUZNETSOV EQUATION; SYSTEM; DIMENSION-2; PLASMAS;
D O I：
10.1186/s13660-018-1813-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the initial value problem for the two-dimensional generalized Zakharov equations which model the propagation of Langmuir waves in plasmas. It is obtained that the solutions of the two-dimensional generalized Zakharov equations converge as alpha -> 0 to a solution of the Zakharov equations. Both weak and strong solutions are considered.
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页数：13
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