Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (3): 1132-1141.

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Growth Decay Rates of Cross Diffusion Fluid Under Nonlinear Conditions

Yuanfei Li()   

  1. Institute of Digital Technology and Applications, Guangzhou Huashang College, Guangzhou 511300
  • Received:2025-04-14 Revised:2025-06-18 Online:2026-06-26 Published:2026-06-16
  • Supported by:
    Guangzhou Huashang College Research Team Project(2025HSYLTD1)

Abstract:

Considering the cross diffusion fluid under non-homogeneous boundary conditions, the spatial properties of the solution of the cross diffusion fluid on a semi-infinite cylinder are studied, by using energy analysis method. When the cross-section of the cylinder is related to the axial variable, the growth decay rates are obtained. Finally, we extend the main results to two specific types of cylinders.

Key words: cross-diffusion fluid, growth decy rates, spatial properties.

CLC Number: 

  • O175.29
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