Global attractor for the viscous modified two-component Camassa-Holm equation

被引：0
作者：
Guan, Chunxia [1 ]
Guo, Boling [2 ]
机构：
[1] Guangdong Univ Technol, Dept Math, Guangzhou 510520, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 70卷
关键词：
A modified two-component; Camassa-Holm equation; Well-posedness; Global solution; Global attractor; SHALLOW-WATER EQUATION; WELL-POSEDNESS; CONSERVATIVE SOLUTIONS; WEAK SOLUTIONS; DISSIPATIVE SOLUTIONS; BREAKING WAVES; SCATTERING; EXISTENCE; TRAJECTORIES; TRANSFORM;
D O I：
10.1016/j.nonrwa.2022.103792
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain the existence of global attractor for the Cauchy problem of a viscous modified two-component Camassa-Holm equation. The existence of global strong solutions is obtained using Kato's theory. The key elements in our analysis are the uniform Gronwall lemma and some estimates of the solutions. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：12
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