TY - JOUR
T1 - Global solvability for an indirect consumption chemotaxis system with signal-dependent motility
AU - Huang, Ai
AU - Wang, Yifu
N1 - Publisher Copyright:
© 2024 Elsevier Ltd
PY - 2024/6
Y1 - 2024/6
N2 - 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.
AB - 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.
KW - Chemotaxis
KW - Degenerate diffusion
KW - Global solvability
KW - Singular diffusion
UR - http://www.scopus.com/inward/record.url?scp=85185832567&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2024.109035
DO - 10.1016/j.aml.2024.109035
M3 - Article
AN - SCOPUS:85185832567
SN - 0893-9659
VL - 152
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
M1 - 109035
ER -