Journal article

Global Existence and Boundedness of Solutions to a Model of Chemotaxis

Abstract:: A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in n-dimensional space. We prove the existence of solutions, which exist globally, and are L ∞-bounded on finite time intervals. The hypotheses require nonlocal conditions on the species-induced production of the chemoattractant.

Publication status:: Published

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APA Style

Dyson, J., Villella-Bressan, R., & Webb, G. (2008). Global Existence and Boundedness of Solutions to a Model of Chemotaxis. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 3(7), 17–35.

MLA Style

Dyson, J., et al. “Global Existence and Boundedness of Solutions to a Model of Chemotaxis.” MATHEMATICAL MODELLING OF NATURAL PHENOMENA, vol. 3, no. 7, 2008, pp. 17–35.

Chicago Style

Dyson, J, R Villella-Bressan, and G Webb. 2008. “Global Existence and Boundedness of Solutions to a Model of Chemotaxis.” MATHEMATICAL MODELLING OF NATURAL PHENOMENA 3 (7): 17–35.
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Publisher copy:: 10.1051/mmnp:2008039

Authors

+ Dyson, J More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Villella-Bressan, R More by this author

Role:: Author

+ Webb, G More by this author

Role:: Author

Journal:: MATHEMATICAL MODELLING OF NATURAL PHENOMENA More from this journal
Volume:: 3
Issue:: 7
Pages:: 17-35
Publication date:: 2008-01-01
DOI:: 10.1051/mmnp:2008039
EISSN:: 1760-6101
ISSN:: 0973-5348

Language:: English
Keywords:: nonlocal conditions

analytic semigroup

global solution

boundedness

diffusion

fractional power

chemotaxis
Pubs id:: pubs:124426
UUID:: uuid:aa8349d8-711f-4b2c-aae3-2539546bda9b
Local pid:: pubs:124426
Source identifiers:: 124426
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2008

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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