Local criteria for blowup in two-dimensional chemotaxis models
Local criteria for blowup in two-dimensional chemotaxis models
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DOI：
10.3934/dcds.2017077
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发表时间：
2014-10
期刊：
影响因子：
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通讯作者：
P. Biler;Tomasz Cie'slak;G. Karch;J. Zienkiewicz
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文献类型：
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作者：
P. Biler;Tomasz Cie'slak;G. Karch;J. Zienkiewicz
我们考虑二维版本的凯勒-西格尔模型的趋化性与经典（布朗）或分数（异常）扩散。根据适当的Morrey空间规范的解爆破的准则。此外，消费项的影响的整体时间存在性的经典Keller-Segel系统进行了分析。
We consider two-dimensional versions of the Keller--Segel model for the chemotaxis with either classical (Brownian) or fractional (anomalous) diffusion. Criteria for blowup of solutions in terms of suitable Morrey spaces norms are derived. Moreover, the impact of the consumption term on the global-in-time existence of solutions is analyzed for the classical Keller--Segel system.