Dynamic Properties of a Nonlinear Viscoelastic Kirchhoff Problem
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Date
2022
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Publisher
Larbi Tebessi University - Tebessa
Abstract
In this thesis , we study the dynamic proprieties of a nonlinear viscoelastic
Kirchhoff-type equation with initial conditions and acoustic boundary conditions
(see [29]). We show that , the energy of the solution decays exponentially or
polynomially. Our approach is based on integral inequalities and multiplier
techniques. Instead of using a Lyapunov-type technique for some perturbed
energy .
Description
Keywords
Kirchhoff-type equation, Acoustic boudary condition , Original energy , Energy decay, équation de type Kirchhoff , Condition aux limites acostique , énergie originelle , Décroissance d'énergie, معادلة كیرشوف ، شروط حدیة صوتیة ، الطاقة الاصلیة ، إضمحلال الطاقة