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

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

Dai Zheng-de1, Zhu Zhi-wei2   

  1. 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

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

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