A Keller-Segel-fluid system with singular sensitivity: Generalized solutions

Tobias Black, Johannes Lankeit, Masaaki Mizukami

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In bounded smooth domains Ω ⊂ RN, N ∈ {2,3}, we consider the Keller-Segel-Stokes system (Formula presented.) and prove global existence of generalized solutions if (Formula presented.) These solutions are such that blow-up into a persistent Dirac-type singularity is excluded.

Original languageEnglish
Pages (from-to)3002-3020
Number of pages19
JournalMathematical Methods in the Applied Sciences
Volume42
Issue number9
DOIs
Publication statusPublished - Jun 2019

Keywords

  • Keller-Segel system
  • Stokes equation
  • chemotaxis-fluid
  • global existence
  • singular sensitivity

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