具非线性记忆的高阶阻尼双曲系统的一个爆破结果

数学物理学报 ›› 2018, Vol. 38 ›› Issue (2): 304-312.

具非线性记忆的高阶阻尼双曲系统的一个爆破结果

刘灯明¹, 曾宪忠¹, 穆春来²

1. 湖南科技大学数学与计算科学学院湖南湘潭 411201;
2. 重庆大学数学与统计学院重庆 401331

收稿日期:2017-02-06 修回日期:2017-09-05 出版日期:2018-04-26 发布日期:2018-04-26
通讯作者: 刘灯明 E-mail:liudengming@hnust.edu.cn,liudengming08@163.com
基金资助:
国家自然科学基金（11701169）和湖南省教育厅科学研究项目（16A071）

A Blow-up Result for a Higher-Order Damped Hyperbolic System with Nonlinear Memory Terms

Liu Dengming¹, Zeng Xianzhong¹, Mu Chunlai²

1. School of Mathematics and Computational Science, Hunan University of Science and Technology, Hunan Xiangtan 411201;
2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331

Received:2017-02-06 Revised:2017-09-05 Online:2018-04-26 Published:2018-04-26
Supported by:
Supported by the NSFC (11701169) and the Scientific Research Fund of Hunan Provincial Education Department (16A071)

摘要/Abstract

摘要： 该文研究了一类具非线性记忆项的高阶阻尼双曲系统的初值问题，利用试验函数方法，给出了弱解的一个爆破结果.

关键词: 高阶阻尼双曲系统, 非线性记忆, 爆破

Abstract: In this paper, we deal with the Cauchy problem for a higher-order damped hyperbolic system with nonlinear memory terms. By the test function method, we obtain a blow-up result of the weak solution.

Key words: Higher-order damped hyperbolic system, Nonlinear memory terms, Blow-up

中图分类号:

O175.4

刘灯明, 曾宪忠, 穆春来. 具非线性记忆的高阶阻尼双曲系统的一个爆破结果[J]. 数学物理学报, 2018, 38(2): 304-312.

Liu Dengming, Zeng Xianzhong, Mu Chunlai. A Blow-up Result for a Higher-Order Damped Hyperbolic System with Nonlinear Memory Terms[J]. Acta mathematica scientia,Series A, 2018, 38(2): 304-312.

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