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<p>This paper is concerned with a one-dimensional linear truncated thermoelastic Bresse system formed by two hyperbolic equations and one elliptic equation coupled with a heat equation of Fourier type. By exploiting some non classical differential operators, we prove the well posedness, using the semigroup theory. We then show that the system is exponentially stable if and only if the hyperbolic equations have the same speed of wave propogation. In the opposite case, we establish a polynomial decay. Moreover, we illustrate our results through some numerical tests.</p>

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On a Shear Thermoelastic Bresse System: Well Posedness and Stability

  • 期刊论文

  • 发表日期：

    2026年4月25日

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  • Salim A. Messaoudi,
  • Ahmed Keddi,
  • Mohamed Alahyane

摘要

This paper is concerned with a one-dimensional linear truncated thermoelastic Bresse system formed by two hyperbolic equations and one elliptic equation coupled with a heat equation of Fourier type. By exploiting some non classical differential operators, we prove the well posedness, using the semigroup theory. We then show that the system is exponentially stable if and only if the hyperbolic equations have the same speed of wave propogation. In the opposite case, we establish a polynomial decay. Moreover, we illustrate our results through some numerical tests.