Decay profile for the chemotactic model with advection and quadratic degradation in bounded domains

Myowin Htwe; Yifu Wang

doi:10.1016/j.aml.2019.05.041

Decay profile for the chemotactic model with advection and quadratic degradation in bounded domains

Myowin Htwe, Yifu Wang^*

^*此作品的通讯作者

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 a chemotactic system modeling the coral broadcast spawning given by u_t+U⋅∇u=Δu−χ∇⋅(u∇v)−μu²,v_t+U⋅∇v=Δv−v+u in a bounded domain Ω⊂Rⁿ(n≥1)under Neumann boundary conditions. We provide a rather simpler proof of the non-trivial bounded classical solution on the decay profile. In addition, we also obtain the optimal decay rate of ∇v(⋅,t)in L^p(Ω)as t→∞.

源语言	英语
页（从-至）	36-40
页数	5
期刊	Applied Mathematics Letters
卷	98
DOI	https://doi.org/10.1016/j.aml.2019.05.041
出版状态	已出版 - 12月 2019

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title = "Decay profile for the chemotactic model with advection and quadratic degradation in bounded domains",

abstract = "This paper is concerned with a chemotactic system modeling the coral broadcast spawning given by ut+U⋅∇u=Δu−χ∇⋅(u∇v)−μu2,vt+U⋅∇v=Δv−v+u in a bounded domain Ω⊂Rn(n≥1)under Neumann boundary conditions. We provide a rather simpler proof of the non-trivial bounded classical solution on the decay profile. In addition, we also obtain the optimal decay rate of ∇v(⋅,t)in Lp(Ω)as t→∞.",

keywords = "Asymptotic behavior, Chemotaxis, Decay estimate, Fertilization",

author = "Myowin Htwe and Yifu Wang",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

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doi = "10.1016/j.aml.2019.05.041",

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N2 - This paper is concerned with a chemotactic system modeling the coral broadcast spawning given by ut+U⋅∇u=Δu−χ∇⋅(u∇v)−μu2,vt+U⋅∇v=Δv−v+u in a bounded domain Ω⊂Rn(n≥1)under Neumann boundary conditions. We provide a rather simpler proof of the non-trivial bounded classical solution on the decay profile. In addition, we also obtain the optimal decay rate of ∇v(⋅,t)in Lp(Ω)as t→∞.

AB - This paper is concerned with a chemotactic system modeling the coral broadcast spawning given by ut+U⋅∇u=Δu−χ∇⋅(u∇v)−μu2,vt+U⋅∇v=Δv−v+u in a bounded domain Ω⊂Rn(n≥1)under Neumann boundary conditions. We provide a rather simpler proof of the non-trivial bounded classical solution on the decay profile. In addition, we also obtain the optimal decay rate of ∇v(⋅,t)in Lp(Ω)as t→∞.

KW - Asymptotic behavior

KW - Chemotaxis

KW - Decay estimate

KW - Fertilization

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SN - 0893-9659

VL - 98

SP - 36

EP - 40

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Decay profile for the chemotactic model with advection and quadratic degradation in bounded domains

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