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DUAN Ben

Professor
Supervisor of Doctorate Candidates
Supervisor of Master's Candidates


Academic Titles:
Gender:Male
Alma Mater:The Chinese University of Hong Kong
Degree:Doctoral Degree
Status:On the job
School/Department:School of Mathematics, Dalian University of Technology
Discipline:Applied Mathematics
Business Address:Office: Room1135, Innovation Park Building, DLUT
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Current position: Home >> Scientific Research >> Paper Publications

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

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Indexed by:Journal Papers

First Author:Che, Jiahang

Correspondence Author:Luo, Z (reprint author), Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China.

Co-authors:Chen, Li,Duan, Ben,Luo, Zhen

Date of Publication:2016-12-15

Journal:JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals:SCIE、Scopus

Volume:261

Issue:12

Page Number:6758-6789

ISSN No.:0022-0396

Key Words:Strong solution; Chemotaxis-fluid interaction; Shallow water system; Vacuum; A priori estimate

Abstract: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.