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January  2014, 13(1): 249-272. doi: 10.3934/cpaa.2014.13.249

## Homogenization and correctors for the hyperbolic problems with imperfect interfaces via the periodic unfolding method

 1 Department of Mathematics, South-Central University for Nationalities, Wuhan 430074, China

Received  December 2012 Revised  June 2013 Published  July 2013

In this paper, we study the homogenization and corrector results for the hyperbolic problem in a two-component composite with $\varepsilon$-periodic connected inclusions. The condition prescribed on the interface is that a jump of the solution is proportional to the conormal derivatives via a function of order $\varepsilon^\gamma$ ($\gamma < -1$). The main ingredient of the proof of our main theorems is the time-dependent periodic unfolding method in two-component domains. Our homogenization results recover those of the corresponding case in [Donato, Faella and Monsurrò, J. Math. Pures Appl. 87 (2007), pp. 119-143]. We also derive the corresponding corrector results.
Citation: Zhanying Yang. Homogenization and correctors for the hyperbolic problems with imperfect interfaces via the periodic unfolding method. Communications on Pure & Applied Analysis, 2014, 13 (1) : 249-272. doi: 10.3934/cpaa.2014.13.249
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