2026-10-30T06:36:28Zhttps://bayburt-rdlopen.rawdatalibrary.net/oai/request

oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/129332026-10-29T19:40:22Zopenairecom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10218

Boundedness in a attraction-repulsion chemotaxis system with nonlinear productionAyazoglu, RabilBoundednesschemotaxisnonlinear productionWe study the quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type ut = ∆u−χ∇·(u∇υ)+ξ∇·(u∇ω) with nonlinear production 0 = ∆υ −βυ +αus, 0 = ∆ω −δω +γur, subject to the homogeneous Neumann boundary conditions in a bounded domain Ω ⊂ ℝN (N ≥ 3) with smooth boundary. It is proved that for every α, β, δ, γ, χ, ξ > 0 and s ≥ N2,r > N−2/N s, there exists ξ∗ > 0 such that if ξ > ξ∗ and any sufficiently regular initial datum u0(x) ≥ 0, then the model has a unique global classical solution (u, υ, ω), which is bounded in Ω × (0, ∞).Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan2024Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/129333005-8139enTransactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciencesinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/12933