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- W2726324248 abstract "Abstract This paper concerns the global existence of bounded classical solution to a quasilinear attraction–repulsion chemotaxis system with logistic source u t = ∇ ⋅ ( D ( u ) ∇ u ) − χ ∇ ⋅ ( u ∇ v ) + ξ ∇ ⋅ ( u ∇ w ) + κ u − μ u 2 in Ω , v t = Δ v + α u − β v in Ω , w t = Δ w + γ u − δ w in Ω , under homogeneous Neumann boundary condition, with positive parameters χ , ξ , κ , μ , α , β , γ , δ and D ( s ) ≥ c 0 s m − 1 for s > 0 , D ( 0 ) > 0 . We prove that in dimension three there exists a unique global bounded classical solution provided that m > 6 5 and μ > 0 . With an additional assumption D ( s ) ≤ C 0 ( s m − 1 + 1 ) for s > 0 , we prove that for any m ∈ 1 , 6 5 , there exists a constant μ 0 = μ 0 ( m ) such that for all μ > μ 0 the above problem admits a unique global bounded classical solution." @default.
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- W2726324248 date "2017-09-01" @default.
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- W2726324248 title "Existence of global bounded classical solution to a quasilinear attraction–repulsion chemotaxis system with logistic source" @default.
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- W2726324248 doi "https://doi.org/10.1016/j.na.2017.06.003" @default.
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