ON THE CAUCHY PROBLEM FOR THE TWO-COMPONENT DULLIN-GOTTWALD-HOLM SYSTEM

被引：17

作者：

Chen, Yong ^{[1
,2
]}

Gao, Hongjun ^{[1
,3
]}

Liu, Yue ^{[4
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China

[2] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Peoples R China

[3] Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Nanjing 210046, Jiangsu, Peoples R China

[4] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 08期

基金：

美国国家科学基金会;

关键词：

Two-component Dullin-Gottwald-Holm system; regularization; wave-breaking; global solutions; solitary-wave solutions; GLOBAL WELL-POSEDNESS; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; BREAKING WAVES; WEAK SOLUTIONS; EXISTENCE; KDV;

D O I：

10.3934/dcds.2013.33.3407

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considered herein is the initial-value problem for a two-component Dullin-Gottwald-Holm system. The local well-posedness in the Sobolev space H-s(R) with s > 3/2 is established by using the bi-linear estimate technique to the approximate solutions. Then the wave-breaking criteria and global solutions are determined in H-s(R), s > 3/2. Finally, existence of the solitary-wave solutions is demonstrated.

引用

页码：3407 / 3441

页数：35

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