Stability conditions for thermodiffusion Timoshenko system with second sound

2021 ◽  
Vol 72 (4) ◽  
Author(s):  
Moncef Aouadi ◽  
Anderson Ramos ◽  
Alberto Castejón
Keyword(s):  
Stability Conditions ◽  
Second Sound ◽  
Timoshenko System

Long-time behaviour of a translational thermoelastic Timoshenko system with second sound

2021 ◽  
pp. 1-29
Author(s):  
Aissa Guesmia ◽  
Mohammad Kafini ◽  
Nasser Eddine Tatar
Keyword(s):  
Second Sound ◽  
Time Behaviour ◽  
Timoshenko System ◽  
Long Time Behaviour ◽  
Long Time

scholarly journals Global existence and decay property of the Timoshenko system in thermoelasticity with second sound

2012 ◽  
Vol 75 (13) ◽  
pp. 4957-4973 ◽  
Author(s):  
Reinhard Racke ◽  
Belkacem Said-Houari
Keyword(s):  
Global Existence ◽  
Decay Property ◽  
Second Sound ◽  
Timoshenko System

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.

A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback

2014 ◽  
Vol 21 (4) ◽  
Author(s):  
Djamel Ouchenane
Keyword(s):  
Heat Conduction ◽  
Stability Result ◽  
Well Posedness ◽  
Second Sound ◽  
Timoshenko System ◽  
Wave Speeds ◽  
One Dimensional ◽  
Delay Term ◽  
Semigroup Method ◽  
Cattaneo’S Law

AbstractIn this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko type with a delay term in the feedback. The heat conduction is given by Cattaneo's law. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem. Furthermore, an exponential stability result is shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semigroup method and the energy method.

scholarly journals The stability number of the Timoshenko system with second sound

2012 ◽  
Vol 253 (9) ◽  
pp. 2715-2733 ◽  
Author(s):  
M.L. Santos ◽  
D.S. Almeida Júnior ◽  
J.E. Muñoz Rivera
Keyword(s):  
Second Sound ◽  
Stability Number ◽  
Timoshenko System ◽  
The Stability

On the decay rates of Timoshenko system with second sound

2015 ◽  
Vol 39 (10) ◽  
pp. 2671-2684 ◽  
Author(s):  
Tijani A. Apalara ◽  
Salim A. Messaoudi ◽  
Ahmed A. Keddi
Keyword(s):  
Decay Rates ◽  
Second Sound ◽  
Timoshenko System

Stability Conditions Related to a Previously Unrecognized Form of Thrombin

1972 ◽  
Vol 27 (02) ◽  
pp. 361-362 ◽  
Author(s):  
Walter H. Seegers ◽  
Lowell E. McCoy
Keyword(s):  
Stability Conditions
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