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- W2914654407 abstract "This article deals with the parabolic-parabolic chemotaxis system{ut=∇⋅(D(u)∇u)−∇⋅(S(u)∇φ(v))+f(u),x∈Ω,t>0,vt=△v−v+u,x∈Ω,t>0 in a bounded domain Ω⊂Rn(n≥1) with smooth boundary conditions, D,S∈C2([0,+∞)) nonnegative, with D(u)=a0(u+1)−α for a0>0 and α<0, 0≤S(u)≤b0(u+1)β for b0>0,β∈R, and where the singular sensitivity satisfies 0<φ′(v)≤χvk for χ>0,k≥1. In addition, f:R→R is a smooth function satisfying f(s)≡0 or generalizing the logistic source f(s)=rs−μsm for all s≥0 with r∈R,μ>0, and m>1. It is shown that for the case without a growth source, if 2β−α<2, the corresponding system possesses a globally bounded classical solution. For the case with a logistic source, if 2β+α<2 and n=1 or n≥2 with m>2β+1, the corresponding system has a globally classical solution." @default.
- W2914654407 created "2019-02-21" @default.
- W2914654407 creator A5011182175 @default.
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- W2914654407 date "2019-07-01" @default.
- W2914654407 modified "2023-10-15" @default.
- W2914654407 title "Global boundedness to a parabolic-parabolic chemotaxis model with nonlinear diffusion and singular sensitivity" @default.
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- W2914654407 doi "https://doi.org/10.1016/j.jmaa.2019.02.022" @default.
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