Blow-up analysis and spatial asymptotic profiles of solutions to a modified two-component hyperelastic rod system

被引：0
|
作者：
Wei, Long [1 ]
Zeng, Qi [1 ]
机构：
[1] Hangzhou Dianzi Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 01期
关键词：
Two-component hyperelastic rod system; Blow-up criterion; Blow-up rate; Persistence property; SHALLOW-WATER EQUATION; CAMASSA-HOLM; WELL-POSEDNESS; GLOBAL EXISTENCE; WAVE-BREAKING; CONSERVATIVE SOLUTIONS; MODEL-EQUATIONS; CRITERIA;
D O I：
10.1007/s13324-020-00444-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a modified two-component hyperelastic rod system, which is a generalization of the Camassa-Holm equation modeling shallow water waves moving over a linear shear flow. We showblow-up analysis and exact spatial asymptotic profiles of solutions to the system. Especially, for the special case gamma = 1, we present the exact blow-up rate of the breaking-wave solution.
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页数：15
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