【摘要】 利用渐近展开和均匀化思想讨论了小周期复合材料的波传播问题,得到了高阶振荡系数的双曲型波动方程的渐近展开式。对R2中的光滑凸区域Ω,证明了渐近解在L∞(0,T;H01(Ω))中具有较好的收敛性,收敛阶为O(ε)。更多还原

【Abstract】 We use the asymptotic expansion and homogenization theories to deal with the wave propagation problem in small periodic composite materials,and obtain the asymptotic expansion of the hyperbolic wave equation with oscillating coeffcients.For the smooth convex domain Ω in R2,we prove that the asymptotic solution is of better convergence in L∞(0,T;H01(Ω)),and its convergence order is O(ε).更多还原