2024 On the fractional-in-time Keller-Segel model via Sonine kernels
Masterson Costa, Claudio Cuevas, Clessius Silva, Herme Soto
Topol. Methods Nonlinear Anal. 63(2): 661-685 (2024). DOI: 10.12775/TMNA.2023.035

Abstract

In this paper, we study the existence and asymptotic behavior to a diffusion system which is non-local in time. As consequence of our theorems we deduce new results for the fractional-in-time Keller-Segel model. Our approach is intimately related with the Sonine kernels.

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Masterson Costa. Claudio Cuevas. Clessius Silva. Herme Soto. "On the fractional-in-time Keller-Segel model via Sonine kernels." Topol. Methods Nonlinear Anal. 63 (2) 661 - 685, 2024. https://doi.org/10.12775/TMNA.2023.035

Information

Published: 2024
First available in Project Euclid: 17 July 2024

Digital Object Identifier: 10.12775/TMNA.2023.035

Keywords: asymptotic behavior , chemotaxis aggregation , diffusion , existence , Keller-Segel model , Sonine kernels

Rights: Copyright © 2024 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.63 • No. 2 • 2024
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