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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 2

Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay

Gang Li
Yue Luan
Wenjun Liu
Sayfa
523–538
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We prove that the system is well-posed by using the semigroup method, and show, using the multiplier method, that the dissipation induced by the heat is strong enough to exponentially stabilize the system in the presence of a “small" delay when the stable number is zero.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we consider a one-dimensional thermoelastic-Bresse system with a delay term, where the heat conduction is given by Cattaneo’s law effective in the shear angle displacement.
📊
Temel Bulgular & Veri:In this paper, we consider a one-dimensional thermoelastic-Bresse system with a delay term, where the heat conduction is given by Cattaneo’s law effective in the shear angle displacement.
💡
Sonuç & Katkı:We prove that the system is well-posed by using the semigroup method, and show, using the multiplier method, that the dissipation induced by the heat is strong enough to exponentially stabilize the system in the presence of a “small" delay when the stable number is zero.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:thermoelastic-Bresse system · second sound · exponential decay

Abstract

In this paper, we consider a one-dimensional thermoelastic-Bresse system with a delay term, where the heat conduction is given by Cattaneo’s law effective in the shear angle displacement. We prove that the system is well-posed by using the semigroup method, and show, using the multiplier method, that the dissipation induced by the heat is strong enough to exponentially stabilize the system in the presence of a “small" delay when the stable number is zero.

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Bu Makaleye Atıf Yap

Li, G., Luan, Y., Liu, W. (2022). Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 2, 523–538. https://ajindex.com/articles/529559

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Kaynakça (15)

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