| 双尺度收敛和拟线性抛物方程的均匀化 |
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| 引用本文： | 张兴友. 双尺度收敛和拟线性抛物方程的均匀化[J]. 应用数学学报, 1996, 19(3): 431-444 |
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| 作者姓名： | 张兴友 |
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| 作者单位： | 重庆大学应用数学系 |
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| 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．
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| 关 键 词： | 均匀化 双尺度收敛 抛物型方程 拟线性 |
TWO-SCALE CONVERGENCE AND HOMOGENIZATION OFA CLASS OF QUASI-LINEAR PARABOLIC EQUATIONS |
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| ZHANG XINGYOU. TWO-SCALE CONVERGENCE AND HOMOGENIZATION OFA CLASS OF QUASI-LINEAR PARABOLIC EQUATIONS[J]. Acta Mathematicae Applicatae Sinica, 1996, 19(3): 431-444 |
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| Authors: | ZHANG XINGYOU |
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| 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. |
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| Keywords: | Homogenization almost-periodic twrescale convergence |
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