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2017 Trajectory attractor and global attractor for Keller-Segel-Stokes model with arbitrary porous medium diffusion
Wenlong Sun, Yeping Li
Topol. Methods Nonlinear Anal. 50(2): 581-602 (2017). DOI: 10.12775/TMNA.2017.024

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 $\mathcal{A}^{{\rm tr}}$ 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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Wenlong Sun. Yeping Li. "Trajectory attractor and global attractor for Keller-Segel-Stokes model with arbitrary porous medium diffusion." Topol. Methods Nonlinear Anal. 50 (2) 581 - 602, 2017. https://doi.org/10.12775/TMNA.2017.024

Information

Published: 2017
First available in Project Euclid: 27 September 2017

zbMATH: 06836834
MathSciNet: MR3747029
Digital Object Identifier: 10.12775/TMNA.2017.024

Rights: Copyright © 2017 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.50 • No. 2 • 2017
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