Exponential stability for nonlinear thermoelastic equations with second sound

2010 ◽  
Vol 11 (4) ◽  
pp. 2502-2513 ◽  
Author(s):  
Yuming Qin ◽  
Zhiyong Ma ◽  
Xinguang Yang
Keyword(s):  
Exponential Stability ◽  
Second Sound

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

scholarly journals Exponential Stability in Hyperbolic Thermoelastic Diffusion Problem with Second Sound

2011 ◽  
Vol 2011 ◽  
pp. 1-21 ◽  
Author(s):  
Moncef Aouadi
Keyword(s):  
Exponential Stability ◽  
Classical Theory ◽  
Hyperbolic Equations ◽  
Propagation Speed ◽  
Diffusion Problem ◽  
Second Sound ◽  
Thermoelastic Diffusion ◽  
Infinite Propagation Speed ◽  
And Diffusion ◽  
Cattaneo’S Law

We consider a thermoelastic diffusion problem in one space dimension with second sound. The thermal and diffusion disturbances are modeled by Cattaneo's law for heat and diffusion equations to remove the physical paradox of infinite propagation speed in the classical theory within Fourier's law. The system of equations in this case is a coupling of three hyperbolic equations. It poses some new analytical and mathematical difficulties. The exponential stability of the slightly damped and totally hyperbolic system is proved. Comparison with classical theory is given.

scholarly journals Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability

2009 ◽  
Vol 32 (5) ◽  
pp. 505-534 ◽  
Author(s):  
Salim A. Messaoudi ◽  
Michael Pokojovy ◽  
Belkacem Said-Houari
Keyword(s):  
Global Existence ◽  
Exponential Stability ◽  
Second Sound ◽  
Timoshenko Systems
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