一类带阻尼项和记忆项的波动方程解的爆破OA
The Blow-up of Solutions to a Class of Wave Equations with Damping and Memory Terms
研究n维外区域上含有弱阻尼和组合记忆项的波动方程的初边值问题.引入乘子抵消弱阻尼项带来的干扰;通过构造能量泛函、选取合适的检验函数及搭建递推迭代序列证明了在不同维数下,方程解在有限时间内发生爆破,并给出生命跨度的上界估计.
This study investigates the initial-boundary value problem for a weakly damped wave equa-tion with composite memory terms in an n-dimensional exterior domain.A multiplier is adopted to off-set disturbances from weak damping.Via energy functional construction,proper test function selection and recursive iterative sequence formulation,finite-time blow-up of solutions is verified for various spatial dimensions,alongside an upper bound estimate of the solution lifespan.
王文茹;韩伟;任翠
中北大学数学学院,山西太原 030051中北大学数学学院,山西太原 030051中北大学数学学院,山西太原 030051
数理科学
波动方程检验函数迭代方法破裂生命跨度
Wave equationTest function methodIteration techniqueBlow-upLife span estimate
《云南师范大学学报（自然科学版）》 2026 (3)
16-19,4
山西省基础研究计划资助项目(20210302123045,20210302123021,20210302123182).
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