On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms

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

Authors

  • Elisa Lankeit
  • Johannes Lankeit

External Research Organisations

  • Paderborn University
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Details

Original languageEnglish
Pages (from-to)1569-1596
Number of pages28
JournalNONLINEARITY
Volume32
Issue number5
Publication statusPublished - 12 Apr 2019
Externally publishedYes

Abstract

Introducing a suitable solution concept, we show that in bounded smooth domains Ω ⊂ R n, n ≥ 1, the initial boundary value problem for the chemotaxis system [Equation presented here], with homogeneous Neumann boundary conditions and widely arbitrary initial data has a generalized global solution for any μ, κ,χ > 0.

Keywords

    chemotaxis, generalized solution, global existence, signal consumption, singular sensitivity

ASJC Scopus subject areas

Cite this

On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms. / Lankeit, Elisa; Lankeit, Johannes.
In: NONLINEARITY, Vol. 32, No. 5, 12.04.2019, p. 1569-1596.

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

Lankeit E, Lankeit J. On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms. NONLINEARITY. 2019 Apr 12;32(5):1569-1596. doi: 10.48550/arXiv.1805.09205, 10.1088/1361-6544/aaf8c0
Lankeit, Elisa ; Lankeit, Johannes. / On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms. In: NONLINEARITY. 2019 ; Vol. 32, No. 5. pp. 1569-1596.
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