RAHMOUNE, Abdelaziz (2018) Existence and asymptotic behavior for some hyperbolic systems. Doctoral thesis, MOHAMED KHIDER UNIVERSITY, BISKRA.

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Abstract
This thesis is devoted to study the Existence and asymptotic behavior for some hyperbolic systems . The first part of the thesis is composed of two chapters 2 and 3. We studied a onedimensional linear thermoelastic system of Timoshenko type, where the heat flux is given by Cattaneo’s law, noting that in the chapter 3 we have introduced a delay term in the feedback and forcing term. We established several exponential decay results for classical and weak solutions in onedimensional. Our technics of proof is based on the construction of the appropriate Lyapunov function equivalent to the energy of the considered solution, and which satisfies a di�erential inequality leading to the desired decay. In chapter 4, we consider a system of nonlinear wave equation with degenerate damping and strong nonlinear source terms. We prove that the solution blows up in time.
Item Type:  Thesis (Doctoral) 

Uncontrolled Keywords:  Nonlinear damping, Strong damping, Viscoelasticity, Nonlinear source, Locale solutions, Global solution, Exponential decay, Polynomial decay, Blow up. 
Subjects:  Q Science > QA Mathematics 
Divisions:  Faculté des Sciences Exactes et des Sciences de la Nature et de la Vie > Département de Mathématiques 
Depositing User:  BFSE 
Date Deposited:  06 Jan 2019 08:24 
Last Modified:  06 Jan 2019 08:24 
URI:  http://thesis.univbiskra.dz/id/eprint/3843 
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