具有非线性记忆项的半线性Moore-Gibson-Thompson方程解的爆破研究

欧阳柏平; 侯春娟

doi:10.6054/j.jscnun.2022033

具有非线性记忆项的半线性Moore-Gibson-Thompson方程解的爆破研究

doi: 10.6054/j.jscnun.2022033

欧阳柏平^,,
侯春娟

广州华商学院数据科学学院，广州 511300

基金项目:

广东省基础与应用基础研究基金省市联合基金项目 2021A1515111048

广东省普通高校重点项目(自然科学) 2019KZDXM042

广州华商学院校内项目 2020HSDS01

详细信息

通讯作者:
欧阳柏平，Email: oytengfei79@tom.com

中图分类号: O175.4
计量
- 文章访问数: 41
- HTML全文浏览量: 16
- PDF下载量: 31
- 被引次数: 0
出版历程
- 收稿日期: 2021-04-28
- 网络出版日期: 2022-05-12
- 刊出日期: 2022-04-25

On the Blow-up of Solutions to the Semilinear Moore-Gibson-Thompson Equation with a Nonlinear Memory Term

OUYANG Baiping^,,
HOU Chunjuan

College of Data Science, Guangzhou Huashang College, Guangzhou 511300, China

摘要

摘要: 为了探讨记忆项对高阶波动方程爆破解的非局部影响，研究了具有非线性记忆项的半线性Moore-Gibson-Thompson方程解的爆破问题：在次临界情况下，通过引入时变泛函，利用测试函数推出了该泛函的第一下界和下界序列。然后应用迭代和切片技巧证明了解的全局非存在性和生命跨度上界估计。
- 非线性记忆项 /
- Moore-Gibson-Thompson方程 /
- 爆破
Abstract: In order to explore the nonlocal impact of memory terms on the blow-up solutions to high-order wave equations, the blow-up of solutions to the Moore-Gibson-Thompson equation with a nonlinear memory term is studied. With the time-dependent functional and the test function, the first lower bound and lower bound series of the functional are derived. Then, the nonexistence of solutions and the upper bound estimate of solutions for the lifespan are proved by applying iteration and slicing technique.
- nonlinear memory term /
- Moore-Gibson-Thompson equation /
- blow-up

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参考文献(11)

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