一类黏弹性波动方程解爆破时间的下界OA北大核心CSTPCD
Lower Bounds for Blow-up Time of Solutions for a Viscoelastic Wave Equation
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 em-ploying suitable energy mode estimation and defining auxiliary functions,we obtains the lower bound of the blow-up time of the so-lution to wave equations with viscoelastic terms.
刘玉龙
太原师范学院 数学与统计学院,山西 晋中 030619
数学
辅助函数法能量模估计非线性阻尼
auxiliary function methodenergy mode estimationnonlinear damping
《山西大学学报（自然科学版）》 2024 (004)
699-703 / 5
山西省高等学校科技创新项目(20221-406)
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