On the fractional doubly parabolic Keller-Segel system modelling chemotaxis

作     者：Mario Bezerra Claudio Cuevas Clessius Silva Herme Soto 

作者机构：Department of MathematicsFederal University of PernambucoRecife 50540-740Brazil Department of MathematicsRural Federal University of PernambucoRecife 52171-900Brazil Department of Mathematics and StatisticsUniversity of La FronteraTemucoCasilla 54-DChile 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2022年第65卷第9期

页      面：1827-1874页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Research and Development Agency of Chile(ANID)-Chile under Fondecyt(Grant No.1181084) 

主　　题：chemotaxis aggregation Keller-Segel model decay properties asymptotic profiles global solutions 

摘      要：This work is concerned with the time-fractional doubly parabolic Keller-Segel system in R^(N)(N≥1),and we derive some refined results on the large time behavior of solutions which are presupposed to enjoy some uniform boundedness ***,the well-posedness and the asymptotic stability of solutions in Marcinkiewicz spaces are *** results are achieved by means of an appropriate estimation of the system nonlinearity in the course of an analysis based on Duhamel-type representation formulae and the Kato-Fujita framework which consists in constructing a fixed-point argument by using a suitable time-dependent space.