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<p>This paper aims to investigate the blow-up characteristics of solutions to a system of coupled viscoelastic wave equations, where the strong damping term, the dispersive term, linear weak damping term, and coupled source term are taken into account. By employing the concavity method, we establish certain sufficient conditions on the initial data that lead to finite-time blow-up of the solutions with arbitrarily high initial energy. This study extends and enhances previous findings in the academic literature.</p>

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A sufficient condition for finite-time blow-up of the coupled viscoelastic wave equations with arbitrary positive initial energy

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月2日

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  • Qian Li,
  • Yanyuan Xing

摘要

This paper aims to investigate the blow-up characteristics of solutions to a system of coupled viscoelastic wave equations, where the strong damping term, the dispersive term, linear weak damping term, and coupled source term are taken into account. By employing the concavity method, we establish certain sufficient conditions on the initial data that lead to finite-time blow-up of the solutions with arbitrarily high initial energy. This study extends and enhances previous findings in the academic literature.