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Topological Methods in Nonlinear Analysis

Trajectory attractor and global attractor for Keller-Segel-Stokes model with arbitrary porous medium diffusion
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Trajectory attractor and global attractor for Keller-Segel-Stokes model with arbitrary porous medium diffusion

Authors

  • Wenlong Sun
  • Yeping Li

Keywords

Keller-Segel-Stokes model, trajectory attractor, global attractor, translation semigroup

Abstract

We investigate long-time behavior of weak solutions for the Keller-Segel-Stokes model with arbitrary porous medium diffusion in 2D bounded domains. We first prove the existence of the trajectory attractor $\mathcal{A}^{\text{\rm tr}}$ for the translation semigroup in the trajectory space. Further, we construct the global attractor $\mathcal{A}$ in a generalized sense. The results are shown by the definition of trajectory attractor and global attractor, and energy estimates.

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Published

2017-09-23

How to Cite

1.
SUN, Wenlong and LI, Yeping. Trajectory attractor and global attractor for Keller-Segel-Stokes model with arbitrary porous medium diffusion. Topological Methods in Nonlinear Analysis. Online. 23 September 2017. Vol. 50, no. 2, pp. 581 - 602. [Accessed 4 July 2025].
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