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

13 Citations (Scopus)

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
Publication status	Published - 2017

Bibliographical note

Funding Information:
The work of the second author was supported by NRF-2014R1A2A1A11051161 and NRF-20151009350. The work of the third author was supported by the Chung-Ang University Research Scholarship Grants in 2014. The authors express sincere gratitude to the anonymous referees for their helpful remarks.

Publisher Copyright:
© 2017 Society for Industrial and Applied Mathematics.

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/16M1071778

Cite this

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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

N1 - Funding Information: The work of the second author was supported by NRF-2014R1A2A1A11051161 and NRF-20151009350. The work of the third author was supported by the Chung-Ang University Research Scholarship Grants in 2014. The authors express sincere gratitude to the anonymous referees for their helpful remarks. Publisher Copyright: © 2017 Society for Industrial and Applied Mathematics.

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.

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JF - SIAM Journal on Mathematical Analysis

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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