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- W4366992753 abstract "We consider initial boundary value problem for the time–space fractional parabolic–elliptic Keller–Segel model 0CDtβu=−(−Δ)α2(ρ(v)u),(t,x)∈(0,T]×Ω(−Δ)α2v+v=u,(t,x)∈(0,T]×Ωin a bounded domain Ω⊂Rn(n≥3) with smooth boundary, where β∈(0,1),α∈(1,2) and ρ stands for a signal-dependent motility. It is shown that for some special initial datum, there exists the uniform-in-time upper bound for v such that the associated initial–boundary system possesses a global classical solution which is uniformly bounded. Moreover, building on this boundedness property, it is proved that the exponential stabilization of the classical solution." @default.
- W4366992753 created "2023-04-27" @default.
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- W4366992753 date "2023-10-01" @default.
- W4366992753 modified "2023-09-25" @default.
- W4366992753 title "Boundedness and exponential stabilization for time–space fractional parabolic–elliptic Keller–Segel model in higher dimensions" @default.
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- W4366992753 doi "https://doi.org/10.1016/j.aml.2023.108699" @default.
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