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- W2928267246 abstract "In this paper we study the global existence of solutions to the fully parabolic chemotaxis system: ut=Δu−χ∇⋅(uv∇v)+f(u), vt=Δv−v+u in a smooth bounded domain Ω⊂Rn (n≥3) subject to the non-flux boundary conditions, where χ>0 and the logistic function f∈C1[0,∞) satisfies f(s)≤r−μsγ with r≥0 and γ,μ>0. It is shown that the problem possesses a global and classical solution as long as γ>2. Moreover, the global existence of the weak solution is also established provided that f(s)=rs−μs2 with any r,μ>0." @default.
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- W2928267246 date "2019-10-01" @default.
- W2928267246 modified "2023-09-29" @default.
- W2928267246 title "Global existence of solutions to a fully parabolic chemotaxis system with singular sensitivity and logistic source" @default.
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- W2928267246 doi "https://doi.org/10.1016/j.nonrwa.2019.03.009" @default.
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