Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664604 | Acta Mathematica Scientia | 2011 | 14 Pages |
Abstract
We study the multiscale homogenization of a nonlinear hyperbolic equation in a periodic setting. We obtain an accurate homogenization result. We also show that as the nonlinear term depends on the microscopic time variable, the global homogenized problem thus obtained is a system consisting of two hyperbolic equations. It is also shown that in spite of the presence of several time scales, the global homogenized problem is not a reiterated one.
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Mathematics
Mathematics (General)