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双尺度收敛和拟线性抛物方程的均匀化
TWO-SCALE CONVERGENCE AND HOMOGENIZATION OFA CLASS OF QUASI-LINEAR PARABOLIC EQUATIONS
【摘要】 利用Fourier分析的某些技巧,得到殆周期国数的一些新性质,在此基础上将均匀化理论中的双尺度收敛方法推广到殆周期振荡的情形.然后利用一些新技巧讨论了殆周期振荡的拟线性方程的均匀化问题,得到了相应的弱收敛和纠正子结果.
【Abstract】 By use of Fourier analysis techniques,we obtain some new properties of thealmost-periodic functions and extend the two-scale convergence method in the homogenization theory to the case of almost-periodic oscillation, this answers an open problem proposedby G.Allaire in [1].Then,we use some new techniques to study the homogenization forquasi-linear parabolic equations with almost-periodic coefficientsand obtain the weak convergence and corrector results.
- 【文献出处】 应用数学学报 ,ACTA MATHEMATICAE APPLICATAE SINICA , 编辑部邮箱 ,1996年03期
- 【分类号】O175.26
- 【被引频次】9
- 【下载频次】40