无穷格点上长波-短波共振方程组核截面的分形维数估计

数学物理学报 ›› 2015, Vol. 35 ›› Issue (6): 1146-1157.

无穷格点上长波-短波共振方程组核截面的分形维数估计

梁芸芸¹, 朱泽奇², 赵敏³, 赵才地¹

1 温州大学数学与信息科学学院浙江温州 325035;
2 中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室武汉 430071;
3 温州大学生命与环境科学学院浙江温州 325035

收稿日期:2015-02-10 修回日期:2015-08-07 出版日期:2015-12-25 发布日期:2015-12-25
通讯作者: 赵才地,zhaocaidi2013@163.com E-mail:zhaocaidi2013@163.com
基金资助:
国家自然科学基金(11271290,51279202,31370381)和国家重点基础研究发展计划(973)项目(2015CB057905)资助

Finite Fractal Dimension of Kernel Sections for Long-Wave-Short-Wave Resonance Equations on Infinite Lattices

Liang Yunyun¹, Zhu Zeqi², Zhao Min³, Zhao Caidi¹

1 Department of Mathematics and Information Science, Wenzhou University, Zhejiang Wenzhou 325035;
2 State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071;
3 Department of Life and Environmental Science, Wenzhou University, Zhejiang Wenzhou 325035

Received:2015-02-10 Revised:2015-08-07 Online:2015-12-25 Published:2015-12-25

摘要/Abstract

摘要：

该文证明了无穷格点上长波-短波共振方程组核截面的分形维数估计.

关键词: 格点长波-短波共振方程组, 核截面, 分形维数

Abstract:

This paper proves an upper bound of fractal dimension of the kernel sections for the long-wave-short-wave resonance equations on infinite lattices.

Key words: Lattice long-wave-short-wave resonance equations, Kernel sections, Fractal dimension

中图分类号:

O175.7

梁芸芸, 朱泽奇, 赵敏, 赵才地. 无穷格点上长波-短波共振方程组核截面的分形维数估计[J]. 数学物理学报, 2015, 35(6): 1146-1157.

Liang Yunyun, Zhu Zeqi, Zhao Min, Zhao Caidi. Finite Fractal Dimension of Kernel Sections for Long-Wave-Short-Wave Resonance Equations on Infinite Lattices[J]. Acta mathematica scientia,Series A, 2015, 35(6): 1146-1157.

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