Two-scale mathematical model for tsunami wave

被引：31
作者：
Anjum, Naveed [1 ,2 ,3 ]
Ain, Qura Tul [1 ,2 ]
Li, Xiao-Xia [2 ]
机构：
[1] Soochow Univ, Sch Math Sci, Suzhou, Peoples R China
[2] Soochow Univ, Coll Text & Engn, Natl Engn Lab Modern Silk, Suzhou, Peoples R China
[3] Govt Coll Univ, Dept Math, Faisalabad, Pakistan
来源：
GEM-INTERNATIONAL JOURNAL ON GEOMATHEMATICS | 2021年 / 12卷 / 01期
关键词：
Tsunami wave; Fractal dimension; Two-scale dimension; Porous surface; Variational theory; VARIATIONAL ITERATION METHOD; FRACTAL CALCULUS; EXPLANATION; TRANSFORM;
D O I：
10.1007/s13137-021-00177-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Scale or dimension is critical for all physical laws, and different scales might result in distinct and sometimes contradicting laws for the same phenomenon. In this study, the idea of the two-scale fractal is utilized to model the time-fractional tsunami wave traveling on an unsmooth surface. Mass and momentum conservation equations are established in a fractal space. To covert the considered fractional model into a differential equation, the fractional complex transform is used, then He's variational iteration method is adopted to solve the resultant equation. The fractal model helps in studying the dynamic behavior of tsunami wave and their prevention through boundary control. The present study sheds new light on two-scale fluid mechanics.
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收藏
页数：12
相关论文
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