一类带记忆项的波动方程耦合方程组解的破裂  

Blow-up of solutions to a coupled system of wave equations with memory terms

作　　者：杜嘉仪 明森 麻雅娴 杨婕 DU Jiayi;MING Sen;MA Yaxian;YANG Jie(School of Mathematics,North University of China,Taiyuan 030051,China;School of Computer Science and Technology,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学数学学院,太原030051 [2]中北大学大数据学院,太原030051

出　　处：《华中师范大学学报（自然科学版）》2023年第3期329-334,共6页Journal of Central China Normal University：Natural Sciences

基　　金：中北大学理学院2021年研究生创新科研项目(20210814);山西省自然科学基金项目(201901D211276);山西省基础研究计划项目(20210302123021,20210302123045).

摘　　要：在n维空间中研究了一类带散射阻尼项和记忆项的波动方程耦合方程组的小初值问题.通过引入适当的乘子并且利用迭代方法,在次临界与临界情形得到解的破裂及其生命跨度的上界估计.This paper aims to investigate the small initial value problem for a coupled system of wave equations with scattering damping terms and memory terms in n space dimensions.Blow-up and upper bound lifespan estimates of solutions are derived in the sub-critical and critical cases by introducing a suitable multiplier and making use of the iteration approach.

关 键 词：波动方程组 记忆项 迭代方法 破裂 生命跨度估计 

分 类 号：O175.29[理学—数学]