A COUPLED KELLER-SEGEL-STOKES MODEL: GLOBAL EXISTENCE FOR SMALL INITIAL DATA AND BLOW-UP DELAY

Alexander Lorz

Research output: Contribution to journalArticlepeer-review

75 Scopus citations

Abstract

We study a system consisting of the elliptic-parabolic Keller-Segel equations coupled to Stokes equations by transport and gravitational forcing. We show global-in-time existence of solutions for small initial mass in 2D. In 3D we establish global existence assuming that the initial L(3/2)-norm is small. Moreover, we give numerical evidence that for this extension of the Keller-Segel system in 2D, solutions exist with mass above 8 pi, which is the critical mass for the system without fluid.
Original languageEnglish (US)
Pages (from-to)555-574
Number of pages20
JournalCOMMUNICATIONS IN MATHEMATICAL SCIENCES
Volume10
Issue number2
DOIs
StatePublished - 2012
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

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