@article{Mohammed2023, 
author = {Mogtaba Mohammed},
title = {Homogenization of nonlinear hyperbolic problem with a dynamical boundary condition},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {12093-12108},
keywords = {non-local interface condition, nonlinear hyperbolic PDEs, homogenization, the periodic unfolding method},
url = {https://www.sciopen.com/article/10.3934/math.2023609},
doi = {10.3934/math.2023609},
abstract = {In this work, we look at homogenization results for nonlinear hyperbolic problem with a non-local boundary condition. We use the periodic unfolding method to obtain a homogenized nonlinear hyperbolic equation in a fixed domain. Due to the investigation's peculiarity, the unfolding technique must be developed with special attention, creating an unusual two-scale model. We note that the non-local boundary condition caused a damping on the homogenized model.}
}