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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Repulsion effects on boundedness in the higher dimensional fully parabolic attraction-repulsion chemotaxis system Repulsion effects on boundedness in the higher dimensional fully parabolic attraction-repulsion chemotaxis system](/preview/png/8899191.png)
چکیده انگلیسی
This paper deals with an attraction-repulsion chemotaxis system{ut=ââ
(D(u)âu)âÏââ
(uâv)+ξââ
(uâw),xâΩ,t>0,Ï1vt=Îv+αuâβv,xâΩ,t>0,Ï2wt=Îw+γuâδw,xâΩ,t>0 under homogeneous Neumann boundary conditions in a smooth bounded domain ΩâRN (Nâ¥2), where parameters Ïi(i=1,2), Ï, ξ, α, β, γ and δ are positive, and diffusion coefficient D(u)âC2(0,+â) satisfies D(u)>0 for uâ¥0, D(u)â¥dumâ1 with d>0 and mâ¥1 for all u>0. It is proved that the corresponding initial-boundary value problem possesses a unique global bounded classical solution for m>2â2N. In particular in the case Ï1=Ï2 and Ïα=ξγ, the solution is globally bounded if m>2â2NâN+2N2âN+2. Therefore, due to the inhibition of repulsion to the attraction, the range of m>2â2N 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
Journal: Journal of Mathematical Analysis and Applications - Volume 467, Issue 2, 15 November 2018, Pages 1066-1079
نویسندگان
Jing Li, Yifu Wang,