This work is devoted to investigating formation of singularities of solutions to the weakly coupled system of semilinear Moore–Gibson–Thompson equations with power nonlinearities |v|^p, |u|^q, derivative nonlinearities |v_t|^p, |u_t|^q, mixed nonlinearities |v|^q, |u_t|^p, and combined nonlinearities $|v_t{|}^{p_1}+|v{|}^{q_1},|u_t{|}^{p_2}+|u{|}^{q_2}$, respectively. Upper bound lifespan estimates of solutions to the problem in the subcritical and critical cases are also established. The main tool employed in the proofs is test function technique. The novelty is that lifespan estimates of solutions are connected with the well-known Strauss exponent and Glassey exponent.

中文翻译：

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半线性摩尔-吉布森-汤普森方程弱耦合系统解的爆破和寿命估计

这项工作致力于研究具有幂非线性的半线性 Moore-Gibson-Thompson 方程的弱耦合系统解奇点的形成 | v | ^p，| 你| ^q , 导数非线性 | v _t | ^p，| ü _Ť | ^q , 混合非线性 | v | ^q，| ü _Ť | ^p和组合非线性$|v_{吨}{|}^{{磷}_1}+|v{|}^{q_1},|{你}_{吨}{|}^{{磷}_2}+|你{|}^{q_2}$， 分别。还建立了亚临界和临界情况下问题解决方案的上限寿命估计。证明中使用的主要工具是测试函数技术。新颖之处在于，解决方案的寿命估计与著名的施特劳斯指数和格拉西指数有关。