摘要
利用三重尺度方法对一类小周期椭圆方程进行了三重尺度渐近展开分析,构造了对应的三重尺度形式渐近展开式,得到了均匀化常数和均匀化方程.在形式渐近展开的基础上,构造了对应边值问题解的三重尺度渐近近似解,并分析了对应三重尺度形式渐近误差估计.
By means of the triple-scale method the asymptotic expression for one class of small periodic elliptic equation is analyzed. Firstly, the formal asymptotic expansion is constructed, and the homogenization constants and equation are obtained. Then based on formal asymptotic expansion the asymptotic approximation solution is constructed and the corresponding error is analyzed.
出处
《纯粹数学与应用数学》
2016年第5期495-504,共10页
Pure and Applied Mathematics
基金
国家自然科学基金资助项目(11671304)
广州市属高校科技计划基金(1201430652)
关键词
椭圆方程
三重尺度方法
渐近展开
elliptic equation
triple-scale method
asymptotic expansion
