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MULTISCALE ASYMPTOTIC EXPANSION FOR A CLASS OF HYPERBOLIC-PARABOLIC TYPE EQUATION WITH HIGHLY OSCILLATORY COEFFICIENTS
作者姓名:Li-qun  Cao
作者单位:Li-qun Cao(Institute of Computational Mathematics and Science-Engineering Computing,The Academy of Mathematics and System Sciences,The Chinese Academy of Sciences,P.O.Box 2719,100080,Beijing,China)De-chao Zhu(Center of Solid Research,Beijing University of Aeronautics and Astronautics,100083,Beijing,China) Jian-Lan Luo(Department of Applied Physics,Beijing University of Aeronautics and Astronautics,100083,Beijing,China)
基金项目:This work is Supported by National Natural Science Foundation of China ( No. 19801006),Special Funds for Major State Basic Research Projects ( No. G2000067102).
摘    要:In this paper, we will discuss the asymptotic behaviour for a class of hyperbolic -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.


MULTISCALE ASYMPTOTIC EXPANSION FOR A CLASS OF HYPERBOLIC-PARABOLIC TYPE EQUATION WITH HIGHLY OSCILLATORY COEFFICIENTS
Li-qun Cao.MULTISCALE ASYMPTOTIC EXPANSION FOR A CLASS OF HYPERBOLIC-PARABOLIC TYPE EQUATION WITH HIGHLY OSCILLATORY COEFFICIENTS[J].Journal of Computational Mathematics,2002(5).
Authors:Li-qun Cao
Abstract:In this paper, we will discuss the asymptotic behaviour for a class of hyperbolic -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.
Keywords:Multiscale asymptotic expansion  Hyperbolic-parabolic type equation  Highly oscillatory coefficient  
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