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

2019 ◽  
pp. 1-16 ◽  
Author(s):  
Gang Li ◽  
Yue Luan ◽  
Wenjun Liu
Keyword(s):  
Exponential Stability ◽  
Well Posedness ◽  
Second Sound ◽  
Bresse System

Well-posedness and exponential stability of a flexible structure with second sound and time delay

2018 ◽  
Vol 98 (16) ◽  
pp. 2903-2915 ◽  
Author(s):  
Gang Li ◽  
Yue Luan ◽  
Jiangyong Yu ◽  
Feida Jiang
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Flexible Structure ◽  
Well Posedness ◽  
Second Sound

WELL-POSEDNESS AND EXPONENTIAL STABILITY FOR THE VON KARM ́ AN SYSTEMS WITH SECOND SOUND

2019 ◽  
Vol 7 (4) ◽  
pp. 52-65
Author(s):  
D Hanni ◽  
◽  
A. Djebabla ◽  
N Tatar ◽  
Keyword(s):  
Exponential Stability ◽  
Well Posedness ◽  
Second Sound

scholarly journals A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Djamel Ouchenane ◽  
Zineb Khalili ◽  
Fares Yazid ◽  
Mohamed Abdalla ◽  
Bahri Belkacem Cherif ◽  
...  
Keyword(s):  
Asymptotic Stability ◽  
Past History ◽  
Stability Result ◽  
Shear Angle ◽  
Well Posedness ◽  
Second Sound ◽  
One Dimensional ◽  
Delay Term ◽  
Bresse System ◽  
Semigroup Method

We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained.

Exponential stability of a flexible structure with second sound

2019 ◽  
Vol 122 (1) ◽  
pp. 71-79 ◽  
Author(s):  
Wenjun Liu ◽  
Jiangyong Yu ◽  
Gang Li
Keyword(s):  
Exponential Stability ◽  
Flexible Structure ◽  
Second Sound

Well-posedness and exponential stability in binary mixtures theory for thermoviscoelastic diffusion materials

2018 ◽  
Vol 41 (10-12) ◽  
pp. 1414-1431 ◽  
Author(s):  
Moncef Aouadi ◽  
Michele Ciarletta ◽  
Vincenzo Tibullo
Keyword(s):  
Exponential Stability ◽  
Binary Mixtures ◽  
Well Posedness

scholarly journals Well-posedness and exponential stability of a thermoelastic Joint–Leg–Beam system with Robin boundary conditions

2009 ◽  
Vol 49 (5-6) ◽  
pp. 1097-1108 ◽  
Author(s):  
E.M. Cliff ◽  
B. Fulton ◽  
T. Herdman ◽  
Z. Liu ◽  
R.D. Spies
Keyword(s):  
Boundary Conditions ◽  
Exponential Stability ◽  
Robin Boundary Conditions ◽  
Well Posedness ◽  
Beam System ◽  
Robin Boundary

General decay in a Timoshenko-type system with thermoelasticity with second sound

2015 ◽  
Vol 4 (4) ◽  
pp. 263-284 ◽  
Author(s):  
Mohamed Ali Ayadi ◽  
Ahmed Bchatnia ◽  
Makram Hamouda ◽  
Salim Messaoudi
Keyword(s):  
Group Theory ◽  
Type System ◽  
General Decay ◽  
Regularity Of Solutions ◽  
Well Posedness ◽  
Second Sound ◽  
Semi Group ◽  
Stability Number ◽  
Timoshenko System ◽  
Relaxation Functions

AbstractIn this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory. Moreover, we establish an explicit and general decay result for a wide class of relaxation functions, which depend on a stability number μ.

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