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- W4292023464 abstract "In this paper, we study a chemotaxis system with singular sensitivity, indirect signal production and logistic source: ut=Δu−χ∇⋅(uv−1∇v)+ru−μu2; τvt=Δv−α1v+β1w; τwt=Δw−α2w+β2u, x∈Ω, t>0 in a bounded and smooth domain Ω⊂RN (N≥1) with no-flux boundary conditions, where α1,α2,β1,β2,χ,λ,μ are positive constants, τ=0. Compared with previous work K. Fujie, M. Winkler, T. Yokota (2014) [7], the novelty here is that logistic source is sufficient to enforce the global existence of classical solutions or to prevent finite-time blow-up in any space dimensional setting are not only in the space two dimensional setting. For any appropriately regular initial data, we prove that the system has a unique globally defined classical solution in any space dimensional setting even for arbitrarily large χ, and our result significantly improves and extends the result obtained in previously known ones." @default.
- W4292023464 created "2022-08-17" @default.
- W4292023464 creator A5034502538 @default.
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- W4292023464 date "2022-11-01" @default.
- W4292023464 modified "2023-10-11" @default.
- W4292023464 title "A new result for global solvability in a singular chemotaxis-growth system with indirect signal production" @default.
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- W4292023464 doi "https://doi.org/10.1016/j.jde.2022.07.044" @default.
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