Name
Title | ||
|---|---|---|
Large time behavior of the full attraction–repulsion Keller–Segel system in the whole space |
Abstract | ||
|---|---|---|
In this paper, we study the Cauchy problem of the attraction–repulsion Keller–Segel chemotaxis model {ut=Δu−∇⋅(χu∇v)+∇⋅(ξu∇w),x∈Rn,t>0,vt=Δv+αu−βv,x∈Rn,t>0,wt=Δw+γu−δw,x∈Rn,t>0,u(x,0)=u0(x),v(x,0)=v0(x),w(x,0)=w0(x),x∈Rn. Here all parameters χ,ξ,α,β,γ and δ are positive. When repulsion cancels attraction (i.e., ξγ=χα), the existence of global classical solution is established with large initial data in two or three spatial dimensions. Moreover, we show that the classical solution decays to zero as t→∞ and behaves like the heat kernel. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.aml.2015.03.004 | Applied Mathematics Letters |
Keywords | Field | DocType |
Chemotaxis,Attraction–repulsion,Decay rate,Asymptotic profiles,Large initial data | Mathematical optimization,Heat kernel,Initial value problem,Mathematics | Journal |
Volume | ISSN | Citations |
47 | 0893-9659 | 1 |
PageRank | References | Authors |
0.43 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hai-yang Jin | 1 | 1 | 0.43 |
| Zhengrong Liu | 2 | 25 | 9.02 |