Abstract
This paper considers the indirect signal consumption-chemotaxis system with signal-dependent motility in a smooth bounded domain Ω⊂Rn(n≤3), as given by ut=Δ(ϕ(v)u),vt=Δv−vw,wt=dΔw−w+u, where the motility function ϕ∈C3((0,∞)),ϕ>0 on (0,∞), which generalizes ϕ(v)=vα,α∈R. Based on point-wise positive lower bound estimate of v, it is shown that for any suitably regular initial data, the corresponding initial–boundary value problem admits global smooth solutions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have