Well-posedness and Energy Decay of Solutions to a Nonlinear Bresse System with Delay Terms

2016 ◽  
Vol 28 (2) ◽  
pp. 447-478
Author(s):  
Abbes Benaissa ◽  
Mostefa Miloudi ◽  
Mokhtar Mokhtari
Keyword(s):  
Energy Decay ◽  
Well Posedness ◽  
System With Delay ◽  
Bresse System ◽  
Decay Of Solutions

scholarly journals Well-posedness and general energy decay of solutions for a Petrovsky equation with a nonlinear strong dissipation

Mathematica ◽  
2021 ◽  
Vol 63 (86) (2) ◽  
pp. 284-296
Author(s):  
Tayeb Lakroumbe ◽  
◽  
Mama Abdelli ◽  
Naima Louhibi ◽  
Mounir Bahlil ◽  
...  
Keyword(s):  
Asymptotic Behaviour ◽  
Bounded Domain ◽  
Energy Method ◽  
Energy Decay ◽  
Well Posedness ◽  
Galerkin Procedure ◽  
Decay Of Solutions ◽  
General Energy ◽  
Uniqueness Of The Solution ◽  
Petrovsky Equation

We consider a nonlinear Petrovsky equation in a bounded domain with a strong dissipation, and prove the existence and the uniqueness of the solution using the energy method combined with the Faedo-Galerkin procedure under certain assumptions. Furthermore, we study the asymptotic behaviour of the solutions using a perturbed energy method.

scholarly journals General decay of solutions of a thermoelastic Bresse system with viscoelastic boundary conditions

2021 ◽  
Vol 39 (6) ◽  
pp. 157-182
Author(s):  
Ammar Khemmoudj
Keyword(s):  
Heat Conduction ◽  
Boundary Conditions ◽  
Decay Rates ◽  
General Decay ◽  
Polynomial Decay ◽  
Relaxation Functions ◽  
Bresse System ◽  
Decay Of Solutions ◽  
Special Cases

In this paper we consider a multidimensional thermoviscoelastic system of Bresse type where the heat conduction is given by Green and Naghdi theories. For a wider class of relaxation functions, We show that the dissipation produced by the memory eect is strong enough to produce a general decay results. We establish a general decay results, from which the usual exponential and polynomial decay rates are only special cases.

Sign in / Sign up

Export Citation Format

Share Document