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<p>We study a coupled system of waves and strongly damped Petrovsky equations with internal fractional damping in a bounded domain. After demonstrating that the system is well-posed using the semigroup theory of linear operators and a conclusion established by Borichev and Tomilov, we analyze the systems stability.</p>

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Well-posedness and stability of coupled system of wave and strongly damped Petrovsky equations with internal fractional damping

  • 期刊论文

  • 发表日期：

    2025年1月18日

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  • Sara Zouatnia,
  • Salah Boulaaras,
  • Nour Eddine Amroun,
  • Mohammed Said Souid

摘要

We study a coupled system of waves and strongly damped Petrovsky equations with internal fractional damping in a bounded domain. After demonstrating that the system is well-posed using the semigroup theory of linear operators and a conclusion established by Borichev and Tomilov, we analyze the systems stability.