Acta mathematica scientia, Series B >
MULTISCALE HOMOGENIZATION OF NONLINEAR HYPERBOLIC EQUATIONS WITH SEVERAL TIME SCALES
Received date: 2009-07-20
Revised date: 2010-01-01
Online published: 2011-05-20
We study the multiscale homogenization of a nonlinear hyperbolic equation in a periodic setting. We obtain an accurate omogenization 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.
Key words： hyperbolic; multiscale; nonlinear
Jean Louis Woukeng , David Dongo . MULTISCALE HOMOGENIZATION OF NONLINEAR HYPERBOLIC EQUATIONS WITH SEVERAL TIME SCALES[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 843 -856 . DOI: 10.1016/S0252-9602(11)60281-6
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