| Properties of Solutions for a Nonlinear Parabolic—Elliptic System Modelling Chemotaxis |
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| 引用本文： | 钟新华. Properties of Solutions for a Nonlinear Parabolic—Elliptic System Modelling Chemotaxis[J]. 数学进展, 2002, 31(1): 87-89 |
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| 作者姓名： | 钟新华 |
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| 作者单位： | School of Math. and Statistics, Wuhan Univ., Wuhan, Hubei, 430072, P. R. China |
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| 基金项目： | the NNSFC，the Fundamental Science Foundation of Nanchang University. |
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| 摘 要： | In 1970 Keller and Segel[1] proposed a mathematical model describing chemotactic aggrega-tion of cellular slime molds which move preferentially towards relatively high concentraions of a chemical secreted by the amoebae themselves. With the cell density of the cellular slime molds u(x, t) and the concentration of the chemical substance v(x, t) at place x and time t, a simplified Keller-Segel model is described as the systemKeller and Segel[1] discussed the initiation of cell aggregation as a…
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| 关 键 词： | 非线性抛物－椭圆型系统 解 唯一性 |
Properties of Solutions for a Nonlinear Parabolic-Elliptic System Modelling Chemotaxis |
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| Abstract: | In 1970 Keller and Segel[1] proposed a mathematical model describing chemotactic aggregation of cellular slime molds which move preferentially towards relatively high concentraions of a chemical secreted by the amoebae themselves. With the cell density of the cellular slime molds u(x, t) and the concentration of the chemical substance v(x, t) at place x and time t, a simplified Keller-Segel model is described as the system |
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