Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Xinru Cao
  • Johannes Lankeit

External Research Organisations

  • Renmin University of China
  • Paderborn University
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Details

Original languageEnglish
Article number107
JournalCalculus of Variations and Partial Differential Equations
Volume55
Issue number4
Publication statusPublished - 1 Aug 2016
Externally publishedYes

Abstract

The coupled chemotaxis fluid system (Formula Presented),where (Formula Presented), is considered in a bounded domain Ω ⊂ RN, N∈ { 2 , 3 } , with smooth boundary. We show that it has global classical solutions if the initial data satisfy certain smallness conditions and give decay properties of these solutions.

Keywords

    35B35, 35B40, 35K55, 35Q35, 92C17

ASJC Scopus subject areas

Cite this

Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities. / Cao, Xinru; Lankeit, Johannes.
In: Calculus of Variations and Partial Differential Equations, Vol. 55, No. 4, 107, 01.08.2016.

Research output: Contribution to journal › Article › Research › peer review

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