Lower bound of mass in a chemotactic model with advection and absorbing reaction

Jaewook Ahn; Kyungkeun Kang; Junha Kim; Jihoon Lee

doi:10.1137/16M1071778

Lower bound of mass in a chemotactic model with advection and absorbing reaction

Jaewook Ahn
, Kyungkeun Kang
, Junha Kim
, Jihoon Lee

Department of Mathematics

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

20 Scopus citations

Abstract

We consider a mathematical model motivated by the studies of coral broadcast spawning in spatial dimensions two and three. We establish the local and global well-posedness of regular solutions for the model. We also prove that the total mass of the egg (sperm) density asymptotically approaches a strictly positive constant, provided that the efficiency of the absorbing reaction is strong enough.

Original language	English
Pages (from-to)	723-755
Number of pages	33
Journal	SIAM Journal on Mathematical Analysis
Volume	49
Issue number	2
DOIs	https://doi.org/10.1137/16M1071778
State	Published - 2017

Keywords

Chemotaxis
Fertilization
Global well-posedness
Reaction terms

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10.1137/16M1071778

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title = "Lower bound of mass in a chemotactic model with advection and absorbing reaction",

abstract = "We consider a mathematical model motivated by the studies of coral broadcast spawning in spatial dimensions two and three. We establish the local and global well-posedness of regular solutions for the model. We also prove that the total mass of the egg (sperm) density asymptotically approaches a strictly positive constant, provided that the efficiency of the absorbing reaction is strong enough.",

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AU - Ahn, Jaewook

AU - Kang, Kyungkeun

AU - Kim, Junha

AU - Lee, Jihoon

PY - 2017

Y1 - 2017

N2 - We consider a mathematical model motivated by the studies of coral broadcast spawning in spatial dimensions two and three. We establish the local and global well-posedness of regular solutions for the model. We also prove that the total mass of the egg (sperm) density asymptotically approaches a strictly positive constant, provided that the efficiency of the absorbing reaction is strong enough.

AB - We consider a mathematical model motivated by the studies of coral broadcast spawning in spatial dimensions two and three. We establish the local and global well-posedness of regular solutions for the model. We also prove that the total mass of the egg (sperm) density asymptotically approaches a strictly positive constant, provided that the efficiency of the absorbing reaction is strong enough.

KW - Chemotaxis

KW - Fertilization

KW - Global well-posedness

KW - Reaction terms

UR - https://www.scopus.com/pages/publications/85018732478

U2 - 10.1137/16M1071778

DO - 10.1137/16M1071778

M3 - Article

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VL - 49

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EP - 755

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 2

ER -

Lower bound of mass in a chemotactic model with advection and absorbing reaction

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Keywords

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