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Qualitative analysis of an integrated chemotaxis-fluid model: global existence and extensibility criterion
Communications in Mathematical Sciences ( IF 1 ) Pub Date :  , DOI: 10.4310/cms.2020.v18.n3.a10
Jishan Fan 1 , Lulu Jing 2 , Gen Nakamura 3 , Kun Zhao 4
Affiliation  

In this paper, we study the global existence and extensibility criterion of large-amplitude solutions to a chemotaxis-fluid model in bounded domains. The model under consideration is an integrated version of several recently studied models in bio-fluids, which is a coupled system of partial differential equations with strong nonlinearities. The results obtained in this paper appear to be among the first ones for the integrated model.

中文翻译:

趋化性-流体模型的定性分析:整体存在性和可扩展性准则

在本文中,我们研究了有界域中趋化流体模型的大振幅解的整体存在性和可扩展性准则。正在考虑的模型是生物流体中最近研究的几个模型的集成版本,该模型是具有强非线性的偏微分方程的耦合系统。本文获得的结果似乎是集成模型的第一批结果。
更新日期:2020-07-20
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