The blow-up of solutions to a coupled system of semilinear wave equations in the sub-critical and critical cases is investigated. The system contains scattering dampings and combined nonlinearities. The upper bound lifespan estimates of solutions which are related to the indexes of nonlinear terms are established by applying the functional method and iteration technique.

中文翻译：

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具有散射阻尼和组合非线性的半线性波动方程耦合系统的放大

研究了在亚临界和临界情况下半线性波动方程耦合系统解的爆炸。该系统包含散射阻尼和组合非线性。应用泛函方法和迭代技术，建立了与非线性项指标相关的解的上界寿命估计。