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        關(guān)于多發(fā)性硬化癥擬線性趨化模型解的全局有界性

        2023-07-28 03:27:16許璐辛巧李亞峰

        許璐 辛巧 李亞峰

        摘要:研究一類擬線性拋物-拋物-常微分方程的多發(fā)性硬化癥趨化模型.在合適的參數(shù)假設(shè)下,證明了該模型經(jīng)典解的全局有界性.

        關(guān)鍵詞:多發(fā)性硬化癥;趨化模型;有界性;擬線性

        中圖分類號:O 175.26 文獻(xiàn)標(biāo)志碼:A 文章編號:1001-988Ⅹ(2023)04-0023-06

        參考文獻(xiàn):

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        [2] BILOTTA E,GARGANO F,GIUNTA V,et al.Axi symmetric solutions for a chemotaxis model of multiple sclerosis[J].Ricerche DI Matematica,2019,68:281.

        [3] KHONSARI R H,VINCENTC,NICK M.The origins of concentric demyelination:self-organization in the human brain[J].Plos One,2007,2(1):150.

        [4] DESVILLETTES L,GIUNTA V.Existence and regularity for a chemotaxis model involved in the modeling of multiple sclerosis[J].Ricerche DI Matematica,2017,70:99.

        [5] HU Xiao-li,F(xiàn)U Sheng-mao,AI Shang-bing.Global asymptotic behavior of solutions for a parabolic-parabolic-ODE chemotaxis system modeling multiple sclerosis[J].Journal of Differential Equations,2020,269(9):6875.

        [6] DESVILLETTES L,GIUNTA V,MORGAN J,et al.Global well-posedness and nonlinear stability of a chemotaxis system modeling multiple sclerosis[J].

        Proceedings of the Royal Society of Edinburgh Section A:Mathematics,2022,152(4):826.

        [7] HU Xiao-li,F(xiàn)U Sheng-mao.Global boundedness and stability for a chemotaxis model of Bolós concentric sclerosis[J].Mathematical Biosciences and Engineering,2020,17(5):5134.

        [8] ISHIDA S,SEKI K,YOKOTA T.Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains[J].Journal of Differential Equations,2014,256:2993.

        [9] HORSTMANN D,WINKLER M.Boundedness vs.blow-up in a chemotaxis system[J].Journal of Differential Equations,2005,215(1): 52.

        [10] KOWALCZYK R,SZYMANSKA Z.On the global existence of solutions to an aggregation model[J].Journal of Mathematical Analysis & Applications,2008,343:379.

        [11] ZHANG Qing-shan,LI Yu-xiang.Boundedness in a quasilinear fully parabolic Keller-Segel system with Logistic source[J].Ztschrift für Angewandte Mathematik und Physik ZAMP,2015,66(5):2473.

        [12] TANG Qing-quan,XIN Qiao,MU Chun-lai.Boundedness of the higher-dimensional quasilinear chemotaxis system with generalized logistic source[J].Acta Mathematica Scientia,2020,40(3):713.

        [13] TAO You-shan,WINKLER M.Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity[J].Journal of Differential Equations,2012,252(1):692.

        (責(zé)任編輯 馬宇鴻)

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