Boundedness in a full parabolic two-species chemotaxis system

Myo Win Htwe; Yifu Wang

doi:10.1016/j.crma.2016.10.024

Boundedness in a full parabolic two-species chemotaxis system

Myo Win Htwe, Yifu Wang

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

This paper is concerned with the two-species chemotaxis system {u_t=△u−∇⋅(uχ₁(w)∇w)+μ₁u(1−u−a₁v),x∈Ω,t>0,v_t=△v−∇⋅(vχ₂(w)∇w)+μ₂v(1−a₂u−v),x∈Ω,t>0,w_t=dΔw−w+u+v,x∈Ω,t>0 in a bounded smooth domain Ω⊂Rⁿ(n≥1), where d>0,μ_i≥0 and a_i≥0 (i=1,2) are parameters, χ_i are functions satisfying some conditions. The purpose of this paper is to show the global boundedness of solutions to the above system under weaker conditions than those assumed in the related literature.

源语言	英语
页（从-至）	80-83
页数	4
期刊	Comptes Rendus Mathematique
卷	355
期	1
DOI	https://doi.org/10.1016/j.crma.2016.10.024
出版状态	已出版 - 1 1月 2017

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10.1016/j.crma.2016.10.024

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引用此

Htwe, M. W., & Wang, Y. (2017). Boundedness in a full parabolic two-species chemotaxis system. Comptes Rendus Mathematique, 355(1), 80-83. https://doi.org/10.1016/j.crma.2016.10.024

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title = "Boundedness in a full parabolic two-species chemotaxis system",

abstract = "This paper is concerned with the two-species chemotaxis system {ut=△u−∇⋅(uχ1(w)∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=△v−∇⋅(vχ2(w)∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=dΔw−w+u+v,x∈Ω,t>0 in a bounded smooth domain Ω⊂Rn(n≥1), where d>0,μi≥0 and ai≥0 (i=1,2) are parameters, χi are functions satisfying some conditions. The purpose of this paper is to show the global boundedness of solutions to the above system under weaker conditions than those assumed in the related literature.",

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AB - This paper is concerned with the two-species chemotaxis system {ut=△u−∇⋅(uχ1(w)∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=△v−∇⋅(vχ2(w)∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=dΔw−w+u+v,x∈Ω,t>0 in a bounded smooth domain Ω⊂Rn(n≥1), where d>0,μi≥0 and ai≥0 (i=1,2) are parameters, χi are functions satisfying some conditions. The purpose of this paper is to show the global boundedness of solutions to the above system under weaker conditions than those assumed in the related literature.

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Boundedness in a full parabolic two-species chemotaxis system

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