关键词: 有限时间爆破 , 对数粘弹性方程, 非局部项, 阻尼延迟, 声学边界条件

Abstract: In this paper, we investigate the blow-up phenomenon for a class of logarithmic viscoelastic equations with delay and nonlocal terms under acoustic boundary conditions. Using the energy method, we prove that nontrivial solutions with negative initial energy will blow up in finite time, and provide an upper bound estimate for the blow-up time. Additionally, we also derive a lower bound estimate for the blow-up time. 

Key words: Finite-time blow-up, Logarithmic viscoelastic equation, Nonlocal term, Damping delay, Acoustic boundary condition