Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (1): 120-132.

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Structural Stability of Temperature Dependent Double Diffusion Model on a Semi-infinite Cylinder

Li Yuanfei*(),Li Dandan,Shi Jincheng   

  1. Department of Apllied Mathematics, Guangzhou Huashang College, Guangzhou 511300
  • Received:2022-11-30 Revised:2023-06-20 Online:2024-02-26 Published:2024-01-10
  • Supported by:
    Research Team Project of Guangzhou Huashang University(2021HSKT01);National Natural Science Foundation of China(11371175)

Abstract:

A simplified temperature dependent double diffusion model defined on a semi-infinite cylinder is studied. By using a prior estimates and weighted energy analysis, it is proved that the solution of the model decays exponentially with the space variable when the boundary conditions satisfy certain constraints. The structural stability of the solution to the interaction coefficient is obtained by using the prior bounds and decay result of the solution.

Key words: Double diffusion model, Spatial attenuation, Structural stability, Interaction coefficient

CLC Number: 

  • O175.29
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