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小周期复合材料热传导问题的双尺度渐近展开及收敛性分析 被引量:7

Convergence of two-scale asymptotic expansion for heat transfer problem of small periodic composite materials
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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. 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.
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2008年第2期145-152,共8页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(10771198) 重点项目基金(90405016) 重大项目基金(10590353)
关键词 均匀化 双尺度方法 抛物型方程 复合材料 homogenization two-scale method parabolic equation composite material
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