Name
Title | ||
|---|---|---|
Large time behavior of solutions for the attraction-repulsion Keller-Segel system with large initial data. |
Abstract | ||
|---|---|---|
In this paper, we study the following attraction–repulsion Keller–Segel system ut=Δu−∇⋅(χu∇v)+∇⋅(ξu∇w),x∈Ω,t>0,vt=Δv+αu−βv,x∈Ω,t>0,0=Δw+γu−δw,x∈Ω,t>0,∂u∂ν=∂v∂ν=∂w∂ν=0,x∈∂Ω,t>0,u(x,0)=u0(x),v(x,0)=v0(x),x∈Ω,in a bounded domain Ω⊂R2 with smooth boundary. The boundedness of solutions with arbitrarily large initial data has been proved in the case of ξγ≥χα (Jin and Wang, 2016). Under the additional assumption ξγβ≥χαδ, we show that the global classical solution will converge to the unique constant state (ū0,αβū0,γδū0) as t→+∞. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.aml.2018.07.025 | Applied Mathematics Letters |
Keywords | Field | DocType |
Chemotaxis,Attraction–repulsion,Global stability | Mathematical physics,Mathematical analysis,Arbitrarily large,Mathematics,Bounded function | Journal |
Volume | ISSN | Citations |
87 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jiao Xu | 1 | 18 | 2.58 |
| Zhengrong Liu | 2 | 25 | 9.02 |
| Shijie Shi | 3 | 0 | 0.34 |