Elliptic-parabolic (hyperbolic) system;
chemotaxis model;
local existence;
global existence;
D O I:
10.4208/jpde.v31.n4.3
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we use contraction mapping principle and operator-theoretic approach to establish local solvability of the elliptic-parabolic(hyperbolic) Type Chemotaxis System. In addition, global solvability of the systems is considered by some uniform estimates.
机构:
Univ Claude Bernard Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, FranceUniv Claude Bernard Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France
机构:
Institute of Mathematics named after V. I. Romanovsky of the Academy of Sciences ofthe Republic of Uzbekistan, Tashkent
Namangan Engineering-Construction Institute, NamanganInstitute of Mathematics named after V. I. Romanovsky of the Academy of Sciences ofthe Republic of Uzbekistan, Tashkent
Apakov Y.P.
Mamajonov S.M.
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机构:
Institute of Mathematics named after V. I. Romanovsky of the Academy of Sciences ofthe Republic of Uzbekistan, TashkentInstitute of Mathematics named after V. I. Romanovsky of the Academy of Sciences ofthe Republic of Uzbekistan, Tashkent
机构:
King Abdullah Univ Sci & Technol KAUST, Appl Math & Computat Sci, Thuwal 4700, Saudi ArabiaKing Abdullah Univ Sci & Technol KAUST, Appl Math & Computat Sci, Thuwal 4700, Saudi Arabia
Astuto, Clarissa
Boffi, Daniele
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机构:
King Abdullah Univ Sci & Technol KAUST, Appl Math & Computat Sci, Thuwal 4700, Saudi Arabia
Univ Pavia, Dept Math F Casorati, I-27100 Pavia, ItalyKing Abdullah Univ Sci & Technol KAUST, Appl Math & Computat Sci, Thuwal 4700, Saudi Arabia
Boffi, Daniele
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机构:
Haskovec, Jan
Markowich, Peter
论文数: 0引用数: 0
h-index: 0
机构:
King Abdullah Univ Sci & Technol KAUST, Appl Math & Computat Sci, Thuwal 4700, Saudi Arabia
Univ Vienna, Dept Math, A-1090 Vienna, AustriaKing Abdullah Univ Sci & Technol KAUST, Appl Math & Computat Sci, Thuwal 4700, Saudi Arabia
机构:
Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R ChinaUniv Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
机构:
Tokyo Univ Sci, Dept Math, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, JapanTokyo Univ Sci, Dept Math, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan