Global well-posedness for the viscous shallow water system with Korteweg type

被引：0

作者：

Li, Jinlu ^{[1
,2
]}

Yin, Zhaoyang ^{[2
,3
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou, Guangdong, Peoples R China

[3] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China

来源：

APPLICABLE ANALYSIS | 2018年 / 97卷 / 16期

关键词：

Viscous shallow water system; Korteweg type; global well-posedness; CAUCHY-PROBLEM; EXISTENCE; EQUATIONS;

D O I：

10.1080/00036811.2017.1395861

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Cauchy problem for a viscous shallow water system with Korteweg type in Sobolev spaces. We first establish the local well-posedness of the solution by using the Friedrich method and compactness arguments. Then, we prove the global existence of the solution to the system for the small initial data.

引用

页码：2865 / 2879

页数：15

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