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间歇湍流的分形特征——分数维及分数阶导数的应用

DOI: 10.6038/cjg20140902, PP. 2751-2755

Keywords: 分数阶导数,分数维,间歇湍流,扩散

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Abstract:

分数维由Mandelbrot创立已有30年,分数阶导数在1695年由L’Hospital提出已有400年的历史.本文用物理学中的间歇湍流问题说明分数维及分数阶导数的物理意义.由于间歇湍流涡旋不完全充满空间,所以其维数为2

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