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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 3
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Articles

Decay estimates for the classical solution of Keller–Segel system with fractional Laplacian in higher dimensions

Shanshan ZhuSchool of Mathematical Science, Yangzhou University, Yangzhou, People's Republic of ChinaView further author information
,
Zuhan LiuSchool of Mathematical Science, Yangzhou University, Yangzhou, People's Republic of ChinaView further author information
&
Ling ZhouSchool of Mathematical Science, Yangzhou University, Yangzhou, People's Republic of ChinaCorrespondence[email protected]
View further author information
Pages 447-461 | Received 28 Jan 2018, Accepted 09 Jul 2018, Published online: 25 Jul 2018

Citations (11)

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Read on this site (1)

Chao Jiang, Yuzhu Lei, Zuhan Liu & Ling Zhou. (2023) Existence and asymptotic stability in a fractional chemotaxis system with competitive kinetics. Applicable Analysis 102:12, pages 3283-3314.
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Articles from other publishers (10)

Ling Zhou, Yiting Tao & Zuhan Liu. (2023) A Keller–Segel system involving mixed local and nonlocal operators with logistic term on ℝ N . Mathematical Methods in the Applied Sciences 47:6, pages 4932-4969.
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Chao Jiang, Yuzhu Lei, Zuhan Liu & Weiyi Zhang. (2023) Spreading speed in a fractional attraction–repulsion chemotaxis system with logistic source. Nonlinear Analysis 230, pages 113232.
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Chao Jiang, Zuhan Liu & Yuzhu Lei. (2023) A Fractional Chemotaxis Navier–Stokes System with Matrix-Valued Sensitivities and Attractive–Repulsive Signals. Fractal and Fractional 7:3, pages 209.
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Weiyi Zhang, Zuhan Liu & Ling Zhou. (2022) Persistence phenomena of classical solutions to a fractional Keller–Segel model with time‐space dependent logistic source. Mathematical Methods in the Applied Sciences 45:17, pages 11683-11713.
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Kerui Jiang, Zhi Ling & Zuhan Liu. (2022) Global existence and decay estimates for the classical solution of fractional attraction–repulsion chemotaxis system. Nonlinear Analysis: Real World Applications 65, pages 103485.
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Yuzhu Lei, Zuhan Liu & Ling Zhou. (2022) Large Time Behavior in a Fractional Chemotaxis-Navier-Stokes System with Competitive Kinetics. Acta Applicandae Mathematicae 179:1.
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Yuzhu Lei, Zuhan Liu & Ling Zhou. (2022) Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source. Nonlinear Analysis 217, pages 112750.
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Yuzhu Lei, Zuhan Liu & Ling Zhou. (2022) Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source. Nonlinear Analysis: Real World Applications 63, pages 103389.
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Zi‐wen Jiang & Li‐zhen Wang. (2021) Weak solutions to the Cauchy problem of fractional time‐space Keller–Segel equation. Mathematical Methods in the Applied Sciences 44:18, pages 14094-14113.
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Weiyi Zhang, Zuhan Liu & Ling Zhou. (2019) Global existence and asymptotic behavior of classical solutions to a fractional logistic Keller–Segel system. Nonlinear Analysis 189, pages 111624.
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