摘 要：研究了一类非线性记忆项的弱耦合半线性双波动系统解的爆破情况。 运用测试函数和切片化方法，证明了其柯西问题在次临界情况下解的全局非存在性。 同时，还得到了其解的生命跨度上界估计。

关键词：非线性记忆项；弱耦合半线性双波动系统； 爆破

中图分类号：O175.4

文献标志码：A

参考文献：

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［9］ 歐阳柏平，肖胜中. 具有非线性项的弱耦合半线性Moore-Gibson-Thompson系统解的全局非存在性［J/OL］. 贵州大学学报（自然科学版）： 1-9［2021-10-21］. http：//kns.cnki.net/kcms/detail/52.5002.N.20210915.1740.002.html.

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（责任编辑：于慧梅）

Blow-up Analysis on Solutions to a Weakly Coupled Semilinear

Double-wave System with Nonlinear Memory Terms

OUYANG Baiping*

（Guangzhou Huashang College， Guangzhou 511300， China）

Abstract：

Blow-up of solutions to a class of weakly coupled semilinear double-wave system with nonlinear memory terms is studied. By employing test functions and slicing methods， nonexistence of global solutions to the Cauchy problem for the semilinear double-wave system in the subcritical case is proved. Also， the upper bound estimate of the lifespan of solutions is obtained.

Key words：

nonlinear memory term; weakly coupled semilinear double-wave system; blow-up

收稿日期：2021-10-21

基金项目：广东省普通高校创新团队资助项目（2020WCXTD008）；广州华商学院校内资助项目（2020HSDS01，2021HSKT01）

作者简介：欧阳柏平（1979—），男，讲师，硕士，研究方向：偏微分方程，E-mail：oytengfei79@163.com.

通讯作者：欧阳柏平，E-mail：oytengfei79@163.com.