Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024523 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 16 Pages |
Abstract
This paper concerns the global existence of bounded classical solution to a quasilinear attraction-repulsion chemotaxis system with logistic source ut=ââ
(D(u)âu)âÏââ
(uâv)+ξââ
(uâw)+κuâμu2in Ω,vt=Îv+αuâβvin Ω,wt=Îw+γuâδwin Ω,under homogeneous Neumann boundary condition, with positive parameters Ï,ξ,κ,μ,α,β,γ,δ and D(s)â¥c0smâ1 for s>0, D(0)>0. We prove that in dimension three there exists a unique global bounded classical solution provided that m>65 and μ>0. With an additional assumption D(s)â¤C0(smâ1+1) for s>0, we prove that for any mâ1,65, there exists a constant μ0=μ0(m) such that for all μ>μ0 the above problem admits a unique global bounded classical solution.
Related Topics
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Engineering
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Authors
Yong Zeng,