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<p>In this paper, we investigate the stabilization of a thermoelastic Bresse system under non-global Cattaneo’s law on both bending moment and axial force. Using the general criterion established by Arendt and Batty, we demonstrate the strong stability of our system. Finally, by employing a frequency domain analysis in conjunction with the multiplier technique, we prove that the system exhibits a polynomial energy decay rate of order <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(t^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>t</mi> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </math></EquationSource> </InlineEquation>.</p>

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On the Stability of Thermoelastic Bresse System Under Non-global Cattaneo’s Law on Both Bending Moment and Axial Force

  • 期刊论文

  • 发表日期：

    2026年4月8日

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  • Hawraa Alsayed,
  • Haidar Badawi,
  • Salwa Mansour,
  • Oriana Mikhael

摘要

In this paper, we investigate the stabilization of a thermoelastic Bresse system under non-global Cattaneo’s law on both bending moment and axial force. Using the general criterion established by Arendt and Batty, we demonstrate the strong stability of our system. Finally, by employing a frequency domain analysis in conjunction with the multiplier technique, we prove that the system exhibits a polynomial energy decay rate of order \(t^{-1}\) t - 1 .