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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (9): 101-110.doi: 10.6040/j.issn.1671-9352.0.2021.509

• • 上一篇    

一类导数型非线性项的弱耦合半线性Moore-Gibson-Thompson系统解的爆破

欧阳柏平   

  1. 广州华商学院数据科学学院, 广东 广州 511300
  • 发布日期:2022-09-15
  • 作者简介:欧阳柏平(1979— ),男,硕士,讲师,研究方向为偏微分方程. E-mail:oytengfei79@tom.com
  • 基金资助:
    广东省普通高校创新团队资助项目(2020WCXTD008);广州华商学院资助项目(2020HSDS01,2021HSKT01);广州市哲学社会科学发展“十三五”规划课题资助项目(2019GZGJ209)

Blow-up of solutions to a weakly coupled semilinear Moore-Gibson-Thompson system with a nonlinear term of derivative type

OUYANG Bai-ping   

  1. College of Data Science, Guangzhou Huashang College, Guangzhou 511300, Guangdong, China
  • Published:2022-09-15

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摘要： 研究了一类导数型非线性项的弱耦合半线性Moore-Gibson-Thompson(MGT)系统柯西问题解的爆破。通过构造辅助泛函,运用迭代技巧和泛函分析方法,得到了次临界情况下其柯西问题解的全局非存在性以及生命跨度的上界估计。

关键词: 导数型非线性项, Moore-Gibson-Thompson系统, 爆破, 生命跨度

Abstract: Blow-up of solutions to the Cauchy problem for a weakly coupled semilinear Moore-Gibson-Thompson(MGT)system with a nonlinear term of derivative type is investigated. By formulating auxiliary functional and using methods of iteration technique and functional analysis, the nonexistence of global solutions and an upper bound estimate of solutions for the lifespan to the Cauchy problem in the subcritical case is derived.

Key words: nonlinear term of derivative type, Moore-Gibson-Thompson system, blow-up, lifespan

中图分类号: 

  • O175.4
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