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

Gang Lİ; Yue LUAN; Wenjun LIU

doi:https://doi.org/10.15672/hujms.568332

Makale detayları

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

Yazarlar:

Gang Lİ | Yue LUAN | Wenjun LIU

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.523-538

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451131

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.568332

Özet:

 

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.

Makale detayları

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

Yazarlar: Gang Lİ | Yue LUAN | Wenjun LIU

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.523-538

Belge Tipi: Makale

Yayın Tarihi: 4/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000451131

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.568332

Sayı

Yazarlar:

Gang Lİ | Yue LUAN | Wenjun LIU

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.523-538

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451131

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.568332