Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (4): 925-945.

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The Convergence Rate of the Fast Signal Diffusion Limit for a Three-Dimensional Keller-Segel-Stokes System

Yu Ting1,*(),Dong Ying2()   

  1. 1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731
    2School of Science, Xihua University, Chengdu 610039
  • Received:2023-03-07 Revised:2023-10-16 Online:2024-08-26 Published:2024-07-26
  • Supported by:
    Natural Science Foundation of Sichuan Province(2022NSFSC1835)

Abstract:

In this paper, We demonstrates that when the initial cell mass is small, the solution of the initial boundary value problem converges at an algebraic rate to the corresponding parabolic-elliptical Keller-Segel-Stokes system during the fast signal diffusion limit process by performing appropriate energy iterative estimation on the three-dimensional parabolic-parabolic Keller-Segel-Stokes system.

Key words: Keller-Segel-Stokes, Fast signal diffusion limit, Decay estimate, Convergence rate

CLC Number: 

  • O175.23
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