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Open Access Green as soon as Postprint is submitted to ZB.
Dimension estimate of the exponential attractor for the chemotaxis-growth system.
Math. Meth. Appl. Sci. 30, 579-594 (2007)
We consider a chemotaxis-growth model which takes into account diffusion, chemotaxis, production of chemical substance, and growth. We present estimates from above and below of the fractal dimension dim M of the exponential attractor M in terms of the coefficients of the system. Comparisons are made between the sizes of the global and exponential attractors. Numerical simulations are presented which confirm the analytical results obtained
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
chernotaxis-growth model; diffusion; fractal dimension; global and exponential attractors; numerical results
Language
english
Publication Year
2007
HGF-reported in Year
0
ISSN (print) / ISBN
0170-4214
e-ISSN
1099-1476
Quellenangaben
Volume: 30,
Issue: 5,
Pages: 579-594
Publisher
Wiley
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)
PSP Element(s)
G-503800-002
DOI
10.1002/mma.801
Erfassungsdatum
2007-12-31