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  

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

作　　者：欧阳柏平 肖胜中[2] OUYANG Baiping;XIAO Shengzhong(Guangzhou Huashang College,Guangzhou 511300,China;Guangdong AIB Polytechnic College,Guangzhou 510507,China)

机构地区：[1]广州华商学院,广东广州511300 [2]广东农工商职业技术学院,广东广州510507

出　　处：《贵州大学学报（自然科学版）》2022年第3期33-40,45,共9页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金资助项目(11371175);广东省普通高校创新团队资助项目(2020WCXTD008);广东财经大学华商学院校内资助项目(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,运用泛函分析和迭代方法推出了其解的全局非存在性。另外,证明了其解的生命跨度的上界估计。Blow-up of solutions to the Cauchy problem for a weakly coupled semilinear Moore-Gibson-Thompson(MGT)system with nonlinear terms is considered.Nonexistence of global solutions to the Cauchy problem for the semilinear MGT equation in the subcritical case is derived by applying functional analysis and iteration methods.Additionally,an upper bound estimate of solutions for the lifespan is proved.

关 键 词：非线性项 Moore-Gibson-Thompson系统 爆破 

分 类 号：O175.4[理学—数学]