کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899191 1631541 2018 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Repulsion effects on boundedness in the higher dimensional fully parabolic attraction-repulsion chemotaxis system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Repulsion effects on boundedness in the higher dimensional fully parabolic attraction-repulsion chemotaxis system
چکیده انگلیسی
This paper deals with an attraction-repulsion chemotaxis system{ut=∇⋅(D(u)∇u)−χ∇⋅(u∇v)+ξ∇⋅(u∇w),x∈Ω,t>0,τ1vt=Δv+αu−βv,x∈Ω,t>0,τ2wt=Δw+γu−δw,x∈Ω,t>0 under homogeneous Neumann boundary conditions in a smooth bounded domain Ω⊂RN (N≥2), where parameters τi(i=1,2), χ, ξ, α, β, γ and δ are positive, and diffusion coefficient D(u)∈C2(0,+∞) satisfies D(u)>0 for u≥0, D(u)≥dum−1 with d>0 and m≥1 for all u>0. It is proved that the corresponding initial-boundary value problem possesses a unique global bounded classical solution for m>2−2N. In particular in the case τ1=τ2 and χα=ξγ, the solution is globally bounded if m>2−2N−N+2N2−N+2. Therefore, due to the inhibition of repulsion to the attraction, the range of m>2−2N of boundedness is enlarged and the results of [21] is thus extended to the higher dimensional attraction-repulsion chemotaxis system with nonlinear diffusion.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 467, Issue 2, 15 November 2018, Pages 1066-1079
نویسندگان
, ,