Global Existence to an Attraction-Repulsion Chemotaxis Model with Fast Diffusion and Nonlinear Source
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with the global existence of solutions to a strongly coupled parabolic-parabolic system of chemotaxis arising from the theory of reinforced random walks.
More specifically, we investigate the attraction-repulsion chemotaxis model with fast diffusive term and nonlinear source subject to the Neumann boundary conditions.
Such fast diffusion guarantees the global existence of solutions for any given initial value in a bounded domain.
Our main results are based on the method of energy estimates, where the key estimates are obtained by a technique originating from Moser’s iterations.
Moreover, we notice that the cell density goes to the maximum value when the diffusion coefficient of the cell density tends to infinity.
American Psychological Association (APA)
Zhu, Yingjie& Cong, Fuzhong. 2015. Global Existence to an Attraction-Repulsion Chemotaxis Model with Fast Diffusion and Nonlinear Source. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060386
Modern Language Association (MLA)
Zhu, Yingjie& Cong, Fuzhong. Global Existence to an Attraction-Repulsion Chemotaxis Model with Fast Diffusion and Nonlinear Source. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060386
American Medical Association (AMA)
Zhu, Yingjie& Cong, Fuzhong. Global Existence to an Attraction-Repulsion Chemotaxis Model with Fast Diffusion and Nonlinear Source. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060386
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060386