MULTISCALE HOMOGENIZATION OF NONLINEAR HYPERBOLIC EQUATIONS WITH SEVERAL TIME SCALES

doi:10.1016/S0252-9602(11)60281-6

摘要/Abstract

摘要：

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.

关键词: hyperbolic, multiscale, nonlinear

Abstract:

Key words: hyperbolic, multiscale, nonlinear

中图分类号:

35B27

Jean Louis Woukeng, David Dongo. MULTISCALE HOMOGENIZATION OF NONLINEAR HYPERBOLIC EQUATIONS WITH SEVERAL TIME SCALES[J]. 数学物理学报(英文版), 2011, 31(3): 843-856.

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.

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