Boundedness in a fully parabolic chemotaxis system with singular sensitivity

This paper deals with a fully parabolic chemotaxis system ut=Δu−χ∇⋅(uv∇v), vt=Δv−v+u with singular sensitivity χv (χ>0) on a bounded domain Ω⊂Rn, n≥2. The main result solves the open problem of uniform-in-time boundedness of solutions for χ

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2015-04, Vol.424 (1), p.675-684
Main Author: Fujie, Kentarou
Format: Article
Language:English
Subjects:
Boundedness
Chemotaxis
Singular sensitivity
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Summary:This paper deals with a fully parabolic chemotaxis system ut=Δu−χ∇⋅(uv∇v), vt=Δv−v+u with singular sensitivity χv (χ>0) on a bounded domain Ω⊂Rn, n≥2. The main result solves the open problem of uniform-in-time boundedness of solutions for χ
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2014.11.045