THE INERTIAL FRACTAL SET FOR WEAKLY DAMPED FORCEDKORTEWEG-DE-VRIES EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (1): 37-45.

THE INERTIAL FRACTAL SET FOR WEAKLY DAMPED FORCEDKORTEWEG-DE-VRIES EQUATION

戴正德¹, 朱智伟²

1. Instilute of Applied Mathematics, Yunnan Province, Department of Math., Yunnan Univ, Kunming;
2. Department of Math., Xijang University

收稿日期:1994-04-30 出版日期:1995-01-18 发布日期:1995-01-18
基金资助:
Project supported by National Natural Science Foundation of China

THE INERTIAL FRACTAL SET FOR WEAKLY DAMPED FORCEDKORTEWEG-DE-VRIES EQUATION

Dai Zheng-de¹, Zhu Zhi-wei²

1. Instilute of Applied Mathematics, Yunnan Province, Department of Math., Yunnan Univ, Kunming;
2. Department of Math., Xijang University

Received:1994-04-30 Online:1995-01-18 Published:1995-01-18
Supported by:
Project supported by National Natural Science Foundation of China

摘要/Abstract

摘要： In this paper we consider weakly damped forced Korteweg-de-Vries equation withnon-self-adjoint operator. The existence of inertial fractal set M of this equation is proved, the estimates of the upper bounds of fractal dimension for M are alsoobtained.

关键词: truncated shallow conical sandwich shells with variable thickness, nonlinear stability, modified iteration method, KdV equation, inertial fractal, dimension

Abstract: In this paper we consider weakly damped forced Korteweg-de-Vries equation withnon-self-adjoint operator. The existence of inertial fractal set M of this equation is proved, the estimates of the upper bounds of fractal dimension for M are alsoobtained.

Key words: truncated shallow conical sandwich shells with variable thickness, nonlinear stability, modified iteration method, KdV equation, inertial fractal, dimension

戴正德;朱智伟. THE INERTIAL FRACTAL SET FOR WEAKLY DAMPED FORCEDKORTEWEG-DE-VRIES EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(1): 37-45.

Dai Zheng-de;Zhu Zhi-wei. THE INERTIAL FRACTAL SET FOR WEAKLY DAMPED FORCEDKORTEWEG-DE-VRIES EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(1): 37-45.

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THE INERTIAL FRACTAL SET FOR WEAKLY DAMPED FORCEDKORTEWEG-DE-VRIES EQUATION

THE INERTIAL FRACTAL SET FOR WEAKLY DAMPED FORCEDKORTEWEG-DE-VRIES EQUATION

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