@article{764babeca61e4c5d9c4c82df7654a57c,
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",
year = "2019",
month = dec,
doi = "10.1016/j.aml.2019.05.041",
language = "English",
volume = "98",
pages = "36--40",
journal = "Applied Mathematics Letters",
issn = "0893-9659",
publisher = "Elsevier Ltd.",
}