scholarly journals Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping

2016 ◽  
Vol 21 (6) ◽  
pp. 1757-1774 ◽  
Author(s):  
Fathi Hassine
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History

Homogenization and correctors for the wave equation with periodic coefficients

2014 ◽  
Vol 24 (07) ◽  
pp. 1343-1388 ◽  
Author(s):  
Juan Casado-Díaz ◽  
Julio Couce-Calvo ◽  
Faustino Maestre ◽  
José D. Martín Gómez
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Space Variable ◽  
Limit Problem ◽  
Almost Periodic ◽  
Wave Problem ◽  
Periodic Coefficients ◽  
Convergence Method

Using the two-scale convergence method, we study the asymptotic behavior of a wave problem in ℝN with periodic coefficients in the space variable and almost-periodic coefficients in the time one. We obtain a nonlocal corrector and show how this implies that the limit problem is nonlocal in general.

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