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Efendiyev, M.A. ; Kläre, M.* ; Lasser, R.

Dimension estimate of the exponential attractor for the chemotaxis-growth system.

Math. Meth. Appl. Sci. 30, 579-594 (2007)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
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
Corresponding Author
Keywords chernotaxis-growth model; diffusion; fractal dimension; global and exponential attractors; numerical results
ISSN (print) / ISBN 0170-4214
e-ISSN 1099-1476
Quellenangaben Volume: 30, Issue: 5, Pages: 579-594 Article Number: , Supplement: ,
Publisher Wiley
Non-patent literature Publications
Reviewing status Peer reviewed