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<p>In this work, we consider a coupled system of two wave equations with only one thermal effect in a one-dimensional domain. We give the well-posedness using the semigroup theory and show that the solution of the system decays polynomially by constructing an appropriate Lyapunov function.</p>

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A stability result of a one-dimensional coupled system of wave equations with Fourier heat conduction

  • 期刊论文

  • 发表日期：

    2025年4月11日

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  • Hizia Bounadja,
  • Oumkeltoum Benhamouda,
  • Salim Messaoudi

摘要

In this work, we consider a coupled system of two wave equations with only one thermal effect in a one-dimensional domain. We give the well-posedness using the semigroup theory and show that the solution of the system decays polynomially by constructing an appropriate Lyapunov function.