Well-posedness and general energy decay of solution for transmission problem with weakly nonlinear dissipative

2021 ◽  
Vol 33 (2) ◽  
Author(s):  
Noureddine Bahri ◽  
Mama Abdelli ◽  
Abderrahmane Beniani ◽  
Khaled Zennir
Keyword(s):  
Energy Decay ◽  
Transmission Problem ◽  
Well Posedness ◽  
Weakly Nonlinear ◽  
General Energy

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.

Energy decay in a transmission problem in thermoelasticity of type III

2009 ◽  
Vol 74 (3) ◽  
pp. 344-360 ◽  
Author(s):  
S. A. Messaoudi ◽  
B. Said-Houari
Keyword(s):  
Energy Decay ◽  
Transmission Problem ◽  
Type Iii
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