Blow-up issues for the hyperelastic rod equation

被引：2
|
作者：
Zhao, Jianmin [1 ]
Yang, Shaojie [1 ]
机构：
[1] Kunming Univ Sci & Technol, Dept Syst Sci & Appl Math, Kunming 650500, Yunnan, Peoples R China
来源：
MONATSHEFTE FUR MATHEMATIK | 2023年 / 201卷 / 02期
关键词：
Blow-up; The hyperelastic rod equation; SHALLOW-WATER EQUATION; MODEL-EQUATIONS; BREAKING WAVES;
D O I：
10.1007/s00605-022-01715-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the hyperelastic rod equation which describes far-field, finite length, finite amplitude radial deformation waves in cylindrical compressible hyperelastic rods. Based on the conservation laws and the blow-up scenario, we derive a new blow-up result which extending earlier blow-up results for the hyperelastic rod equation.
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页码：565 / 571
页数：7
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