On the existence of local strong solutions to chemotaxis-shallow water system with large data and vacuum

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Che, Jiahang¹  Chen, Li¹  Duan, Ben^1,2  Luo, Zhen³ 

[1] Univ Mannheim, Sch Business Informat & Math, D-68131 Mannheim, Germany

[2] Dalian Univ Technol, Sch Math, Dalian 116024, Peoples R China

[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

关键词: Strong solution;    Chemotaxis-fluid interaction;    Shallow water system;    Vacuum;    A priori estimate;   

DOI  :  10.1016/j.jde.2016.09.005

来源: Elsevier

【 摘 要 】

In this paper, motivated by the chemotaxis-Navier-Stokes system arising from mathematical biology [43], a modified shallow water type chemotactic model is derived. For large initial data allowing vacuum, the local existence of strong solutions together with the blow-up criterion is established. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free