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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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→∞.

Original language	English
Pages (from-to)	36-40
Number of pages	5
Journal	Applied Mathematics Letters
Volume	98
DOIs	https://doi.org/10.1016/j.aml.2019.05.041
Publication status	Published - Dec 2019

Keywords

Asymptotic behavior
Chemotaxis
Decay estimate
Fertilization

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10.1016/j.aml.2019.05.041

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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→∞.",

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author = "Myowin Htwe and Yifu Wang",

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

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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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VL - 98

SP - 36

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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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Keywords

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