中文版 | English
Title

Adaptive moving mesh upwind scheme for the two-species chemotaxis model

Author
Corresponding AuthorKurganov, Alexander
Publication Years
2019-06-15
DOI
Source Title
ISSN
0898-1221
EISSN
1873-7668
Volume77Issue:12Pages:3172-3185
Abstract
Chemotaxis systems are used to model the propagation, aggregation and pattern formation of bacteria/cells in response to an external stimulus, usually a chemical one. A common property of all chemotaxis systems is their ability to model a concentration phenomenon- rapid growth of the cell density in small neighborhoods of concentration points/curves. More precisely, the solution may develop singular, spiky structures, or even blow up in finite time. Therefore, the development of accurate and computationally efficient numerical methods for the chemotaxis models is a challenging task.
Keywords
URL[Source Record]
Indexed By
SCI ; EI
Language
English
SUSTech Authorship
Corresponding
Funding Project
NSF[DMS-1521009]
WOS Research Area
Mathematics
WOS Subject
Mathematics, Applied
WOS Accession No
WOS:000471088800009
Publisher
EI Accession Number
20191106621078
EI Keywords
Biochemistry ; Mesh generation
ESI Classification Code
Biochemistry:801.2 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Numerical Methods:921.6
ESI Research Field
MATHEMATICS
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:4
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/25689
DepartmentDepartment of Mathematics
工学院_材料科学与工程系
Affiliation
1.North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
3.Tulane Univ, Math Dept, New Orleans, LA 70118 USA
4.INRIA Bordeaux Sud Ouest, Team CARDAMOM, F-33405 Talence, France
Corresponding Author AffilicationDepartment of Mathematics
Recommended Citation
GB/T 7714
Chertock, Alina,Kurganov, Alexander,Ricchiuto, Mario,et al. Adaptive moving mesh upwind scheme for the two-species chemotaxis model[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2019,77(12):3172-3185.
APA
Chertock, Alina,Kurganov, Alexander,Ricchiuto, Mario,&Wu, Tong.(2019).Adaptive moving mesh upwind scheme for the two-species chemotaxis model.COMPUTERS & MATHEMATICS WITH APPLICATIONS,77(12),3172-3185.
MLA
Chertock, Alina,et al."Adaptive moving mesh upwind scheme for the two-species chemotaxis model".COMPUTERS & MATHEMATICS WITH APPLICATIONS 77.12(2019):3172-3185.
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