Multiscale asymptotic expansion for a class of hyperbolic-parabolic type equation with highly oscillatory coefficients

摘要

In this paper, we will discus the asymptotic behaviour for a class of hyper- bolic-parabolic type equation with highly oscillatory coefficients arising from the strong-transient heat and mass transfer problems of composite media. A complete multiscale asymptotic expansion and its rigorous verification will be reported.