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中文摘要：
利用双尺度渐近展开和均匀化思想讨论了小周期复合材料的热传导问题,得到了具有高阶震荡系数的抛物型方程的渐近展开式,并证明了当Ω为R~2中的光滑的区域时渐近展开式在空间L~2(0,T;H~1(Ω))中具有较好的收敛性.
英文摘要：
The two-scale asymptotic expansion and homogenization method is applied to the heat transfer problem of small periodic composite materials,which obtains the asymp- totic expansion of the parabolic equation with oscillation coefficient.The convergence of the asymptotic expansion is proved in the space L~2(0,T;H~1(Ω)) with smooth regionΩin R~2.
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