Establishment of Multiscale Analysis for Daily Nonlinear Phenomena and its Application

为了在计算机上模拟这些非线性现象并阐明其机理，我们在整个研究期间对日常非线性现象进行了实验研究。 特别是，我们已经发现，最初的图案形成的咖啡分形牛奶解释粘性指。 由于我们试图分析这些现象的“是”，它需要发展多尺度的方法。 在多尺度分析领域，我们展示了时间方向多尺度方法的有效性，这为非线性现象的多尺度分析提供了进一步的研究方向。

We have experimentally studied daily nonlinear phenomena over the whole period of this research in order to simulate those phenomena on computer and to clarify the mechanism. In particular, we have found that the initial pattern formation of coffee fractals on milk is explained by viscous fingering. Since we have tried to analyze those phenomena 'as is', it is required to develop multiscale approach. In the field of the multiscale analysis, we showed efficiency of the multiscale method for time-direction, which leads to the next study on the multiscale analysis of nonlinear phenomena.