一类黏弹性波动方程解爆破时间的下界  

Lower Bounds for Blow-up Time of Solutions for a Viscoelastic Wave Equation

作　　者：刘玉龙 LIU Yulong(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong 030619,China)

机构地区：[1]太原师范学院数学与统计学院,山西晋中030619

出　　处：《山西大学学报（自然科学版）》2024年第4期699-703,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：山西省高等学校科技创新项目(20221-406)。

摘　　要：文章研究了一类黏弹性波动方程解在有限时间内爆破的问题,当研究的目标方程解存在爆破时,准确估计爆破时间的下界是本文需要解决的关键问题。通过适当的能量模估计以及定义辅助函数等技术方法,得到了带有黏弹项波动方程解爆破时间的下界。The article studies the problem of blow-up in finite time for a class of viscoelastic wave equations.When the solution of the target equation blow up,accurately estimating the lower bound of the blow-up time is a key issue that needs to address.By employing suitable energy mode estimation and defining auxiliary functions,we obtains the lower bound of the blow-up time of the solution to wave equations with viscoelastic terms.

关 键 词：辅助函数法 能量模估计 非线性阻尼 

分 类 号：O175.29[理学—数学]