On explosions of solutions to a system of partial differential equations modelling chemotaxis
On explosions of solutions to a system of partial differential equations modelling chemotaxis
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DOI：
10.1090/s0002-9947-1992-1046835-6
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发表时间：
1992-02
影响因子：
1.3
通讯作者：
Willi Jäger;S. Luckhaus
中科院分区：
文献类型：
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作者：
Willi Jäger;S. Luckhaus
一个系统的偏微分方程模型的趋化聚集进行了分析（凯勒-西格尔模型）。给出了参数系统整体光滑解存在的条件。在二维径向对称情形下，对一类初始值，细菌浓度在有限时间内呈现爆炸性
A system of partial differential equations modelling chemotactic aggregation is analysed (Keller-Segel model). Conditions on the system of paramaters are given implying global existence of smooth solutions. In two space dimensions and radially symmetric situations, explosion of the bacteria concentration in finite time is shown for a class of initial values