Optimal decay for a porous elasticity system with memory

2019 ◽  
Vol 470 (2) ◽  
pp. 1108-1128 ◽  
Author(s):  
Baowei Feng ◽  
Tijani A. Apalara
2018 ◽  
Vol 24 (8) ◽  
pp. 2361-2373 ◽  
Author(s):  
Baowei Feng ◽  
Mingyang Yin

In previous work, Apalara considered a one-dimensional porous elasticity system with memory and established a general decay of energy for the system in the case of equal-speed wave propagations. In this paper, we extend the result to the case of non-equal wave speeds, which is more realistic from the physics point of view.


2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Moncef Aouadi ◽  
Imed Mahfoudhi ◽  
Taoufik Moulahi

<p style='text-indent:20px;'>In this paper, we give some qualitative results on the behavior of a nonsimple elastic plate with memory corresponding to anti-plane shear deformations. First we describe briefly the equations of the considered plate and then we study the well-posedness of the resulting problem. Secondly, we perform the spectral analysis, in particular, we establish conditions on the physical constants of the plate to guarantee the simplicity and the monotonicity of the roots of the characteristic equation. The spectral results are used to prove the exponential stability of the solutions at an optimal decay rate given by the physical constants. Then we present an approximate controllability result of the considered control problem. Finally, we give some numerical experiments based on the spectral method developed with implementation in MATLAB for one and two-dimensional problems.</p>


2015 ◽  
Vol 04 (S 01) ◽  
Author(s):  
M. Solomons
Keyword(s):  

2012 ◽  
Vol E95-C (3) ◽  
pp. 382-394
Author(s):  
Yasuyuki OISHI ◽  
Shigekazu KIMURA ◽  
Eisuke FUKUDA ◽  
Takeshi TAKANO ◽  
Daisuke TAKAGO ◽  
...  

2020 ◽  
Vol 16 (5) ◽  
pp. 728
Author(s):  
Cui Yong ◽  
Chen Haoran ◽  
Zhu Liang
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document