LOWER BOUND OF MASS IN A CHEMOTACTIC MODEL WITH ADVECTION AND ABSORBING REACTION

  • Ahn, Jaewook
  • Kang, Kyungkeun
  • Kim, Junha
  • Lee, Jihoon
Citations

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20
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21

초록

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.

키워드

chemotaxisfertilizationglobal well-posednessreaction termsSPERM-ATTRACTANTCHEMICAL-ASPECTSLOGISTIC SOURCEBLOW-UPSYSTEMAGGREGATIONENHANCEMENTCORALSEGGS
제목
LOWER BOUND OF MASS IN A CHEMOTACTIC MODEL WITH ADVECTION AND ABSORBING REACTION
저자
Ahn, JaewookKang, KyungkeunKim, JunhaLee, Jihoon
DOI
10.1137/16M1071778
발행일
2017-05
유형
Article
저널명
SIAM Journal on Mathematical Analysis
49
2
페이지
723 ~ 755