Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization

Elio Espejo, Michael Winkler

Research output: Journal PublicationArticlepeer-review

41 Citations (Scopus)

Abstract

The interplay of chemotaxis, convection and reaction terms is studied in the particular framework of a refined model for coral broadcast spawning, consisting of three equations describing the population densities of unfertilized sperms and eggs and the concentration of a chemical released by the latter, coupled to the incompressible Navier-Stokes equations. Under mild assumptions on the initial data, global existence of classical solutions to an associated initial-boundary value problem in bounded planar domains is established. Moreover, all these solutions are shown to approach a spatially homogeneous equilibrium in the large time limit.

Original languageEnglish
Pages (from-to)1227-1259
Number of pages33
JournalNonlinearity
Volume31
Issue number4
DOIs
Publication statusPublished - 19 Feb 2018
Externally publishedYes

Keywords

  • NavierStokes
  • asymptotic behavior
  • boundedness
  • chemotaxis
  • global existence

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy (all)
  • Applied Mathematics

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