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

#### Gang Lİ [1] , Yue LUAN [2] , Wenjun LIU [3]

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.
thermoelastic-Bresse system, second sound, exponential decay, time delay
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Birincil Dil en Matematik Matematik Orcid: 0000-0003-0737-0234Yazar: Gang Lİ Kurum: Nanjing University of Information Science and TechnologyÜlke: China Orcid: 0000-0001-8631-0875Yazar: Yue LUAN Kurum: Nanjing University of Information Science and TechnologyÜlke: China Orcid: 0000-0002-4500-6559Yazar: Wenjun LIU (Sorumlu Yazar)Kurum: Nanjing University of Information Science and TechnologyÜlke: China Yayımlanma Tarihi : 2 Nisan 2020
 Bibtex @araştırma makalesi { hujms568332, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe Üniversitesi}, year = {2020}, volume = {49}, pages = {523 - 538}, doi = {10.15672/hujms.568332}, title = {Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay}, key = {cite}, author = {Lİ, Gang and LUAN, Yue and LIU, Wenjun} } APA Lİ, G , LUAN, Y , LIU, W . (2020). Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay. Hacettepe Journal of Mathematics and Statistics , 49 (2) , 523-538 . DOI: 10.15672/hujms.568332 MLA Lİ, G , LUAN, Y , LIU, W . "Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 523-538 Chicago Lİ, G , LUAN, Y , LIU, W . "Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 523-538 RIS TY - JOUR T1 - Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay AU - Gang Lİ , Yue LUAN , Wenjun LIU Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.568332 DO - 10.15672/hujms.568332 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 523 EP - 538 VL - 49 IS - 2 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.568332 UR - https://doi.org/10.15672/hujms.568332 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay %A Gang Lİ , Yue LUAN , Wenjun LIU %T Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 2 %R doi: 10.15672/hujms.568332 %U 10.15672/hujms.568332 ISNAD Lİ, Gang , LUAN, Yue , LIU, Wenjun . "Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay". Hacettepe Journal of Mathematics and Statistics 49 / 2 (Nisan 2020): 523-538 . https://doi.org/10.15672/hujms.568332 AMA Lİ G , LUAN Y , LIU W . Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 523-538. Vancouver Lİ G , LUAN Y , LIU W . Well-posedness and exponential stability of a thermoelastic-Bresse system with second sound and delay. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 538-523.

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