Journal article
GLOBAL DYNAMICS OF A HYPERBOLIC-PARABOLIC MODEL ARISING FROM CHEMOTAXIS
SIAM journal on applied mathematics, Vol.72(1), pp.417-443
01/01/2012
DOI: 10.1137/110829453
Abstract
We prove global existence and qualitative behavior of classical solutions for a hyperbolic-parabolic system describing chemotaxis on bounded domains. It is shown that classical solutions to the initial-boundary value problem of the one-dimensional model exist globally in time for large initial data, and the solutions converge to constant equilibrium states exponentially in time, which rigorously demonstrates the collapsing of cell populations in chemotaxis. Moreover, similar results are established for the multidimensional model when the initial data are small.
Details
- Title: Subtitle
- GLOBAL DYNAMICS OF A HYPERBOLIC-PARABOLIC MODEL ARISING FROM CHEMOTAXIS
- Creators
- Tong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USARonghua Pan - Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USAKun Zhao - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- SIAM journal on applied mathematics, Vol.72(1), pp.417-443
- Publisher
- SIAM PUBLICATIONS
- DOI
- 10.1137/110829453
- ISSN
- 0036-1399
- eISSN
- 1095-712X
- Number of pages
- 27
- Grant note
- DMS 0807406; 0635561 / National Science Foundation
- Language
- English
- Date published
- 01/01/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984241057802771
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