非线性记忆项的弱耦合半线性Moore-Gibson-Thompson系统全局解的非存在性  

Nonexistence of Global Solutions to A Weakly Coupled Semilinear Moore-Gibson-Thompson System with Nonlinear Memory Terms

作　　者：欧阳柏平 Ouyang Baiping(School of Date Science,Guangzhou Huashang College,Guangzhou 511300,China)

机构地区：[1]广州华商学院数据科学学院,广东广州511300

出　　处：《海南大学学报（自然科学版）》2022年第1期17-29,共13页Natural Science Journal of Hainan University

基　　金：国家自然科学基金(11371175);广东省普通高校创新团队项目(2020WCXTD008);广东财经大学华商学院校内项目(2020HSDS01);广州华商学院科研团队项目(2021HSKT01)。

摘　　要：考虑了一类非线性记忆项的弱耦合半线性Moore-Gibson-Thompson(MGT)系统柯西问题解的爆破现象.在次临界情况下,通过构造辅助泛函以及应用迭代方法和切片化方法推出了柯西问题解的全局非存在性,进一步得到了解的生命跨度的上界估计.In the report,the blow-up phenomena of solutions to the Cauchy problem for a weakly coupled semilinear Moore-Gibson-Thompson(MGT)system with nonlinear memory terms was analyzed.In the subcritical case,the auxiliary functional was constructed,the iteration methods and slicing technique were performed,and the nonexistence of global solutions to the Cauchy problem were deduced,and an upper bound estimate of solutions for the lifespan was obtained.

关 键 词：非线性记忆项 Moore-Gibson-Thompson系统 爆破 生命跨度 柯西问题 

分 类 号：O175.4[理学—数学]