Optimal polynomial decay for a Timoshenko system with a strong damping and a strong delay

2021 ◽  
Author(s):  
Hocine Makheloufi ◽  
Mounir Bahlil ◽  
Baowei Feng
Keyword(s):  
Polynomial Decay ◽  
Timoshenko System ◽  
Strong Damping ◽  
Optimal Polynomial

scholarly journals Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
R. F. C. Lobato ◽  
S. M. S. Cordeiro ◽  
M. L. Santos ◽  
D. S. Almeida Júnior
Keyword(s):  
Decay Rate ◽  
Spectral Methods ◽  
Finite Differences ◽  
Wave Equations ◽  
Coupled System ◽  
Polynomial Decay ◽  
One Dimensional ◽  
Coupled Wave Equations ◽  
Optimal Polynomial ◽  
The One

In this work we consider a coupled system of two weakly dissipative wave equations. We show that the solution of this system decays polynomially and the decay rate is optimal. Computational experiments are conducted in the one-dimensional case in order to show that the energies properties are preserved. In particular, we use finite differences and also spectral methods.

scholarly journals Optimal polynomial decay of functions and operator semigroups

2009 ◽  
Vol 347 (2) ◽  
pp. 455-478 ◽  
Author(s):  
Alexander Borichev ◽  
Yuri Tomilov
Keyword(s):  
Polynomial Decay ◽  
Operator Semigroups ◽  
Optimal Polynomial

scholarly journals Optimal polynomial decay for a coupled system of wave with past history

2020 ◽  
Vol 4 (1) ◽  
pp. 49-59 ◽  
Author(s):  
S. M. S. Cordeiro ◽  
◽  
R. F. C. Lobato ◽  
C. A. Raposo ◽  
◽  
...  
Keyword(s):  
Past History ◽  
Coupled System ◽  
Polynomial Decay ◽  
Optimal Polynomial
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