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

Jaewook Ahn, Kyungkeun Kang, Junha Kim, Jihoon Lee

Research output: Contribution to journalArticlepeer-review

18 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 languageEnglish
Pages (from-to)723-755
Number of pages33
JournalSIAM Journal on Mathematical Analysis
Volume49
Issue number2
DOIs
StatePublished - 2017

Keywords

  • Chemotaxis
  • Fertilization
  • Global well-posedness
  • Reaction terms

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