非线性记忆项的弱耦合半线性双波动系统解的爆破分析  

Blow-up Analysis on Solutions to a Weakly Coupled Semilinear Double-wave System with Nonlinear Memory Terms

作　　者：欧阳柏平 OUYANG Baiping(Guangzhou Huashang College,Guangzhou 511300,China)

机构地区：[1]广州华商学院,广东广州511300

出　　处：《贵州大学学报（自然科学版）》2023年第2期29-35,41,共8页Journal of Guizhou University:Natural Sciences

基　　金：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)。

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。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.

关 键 词：非线性记忆项 弱耦合半线性双波动系统 爆破 

分 类 号：O175.4[理学—数学]