Singular sensitivity in a Keller–Segel-fluid system

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Tobias Black
  • J. Lankeit
  • M. Mizukami

Externe Organisationen

  • Universität Paderborn
  • Tokyo University of Science
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Details

OriginalspracheEnglisch
Seiten (von - bis)561-581
Seitenumfang21
FachzeitschriftJournal of evolution equations
Jahrgang18
Ausgabenummer2
Frühes Online-Datum28 Okt. 2017
PublikationsstatusVeröffentlicht - Juni 2018
Extern publiziertJa

Abstract

In bounded smooth domains Ω ⊂ R N, N∈ { 2 , 3 } , considering the chemotaxis–fluid system nt+u·∇n=Δn-χ∇·(nc∇c)ct+u·∇c=Δc-c+nut+κ(u·∇)u=Δu+∇P+n∇ϕ with singular sensitivity, we prove global existence of classical solutions for given ϕ∈ C 2(Ω ¯) , for κ= 0 (Stokes-fluid) if N= 3 and κ∈ { 0 , 1 } (Stokes- or Navier–Stokes-fluid) if N= 2 and under the condition that 0<χ<2N.

ASJC Scopus Sachgebiete

Zitieren

Singular sensitivity in a Keller–Segel-fluid system. / Black, Tobias; Lankeit, J.; Mizukami, M.
in: Journal of evolution equations, Jahrgang 18, Nr. 2, 06.2018, S. 561-581.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Black T, Lankeit J, Mizukami M. Singular sensitivity in a Keller–Segel-fluid system. Journal of evolution equations. 2018 Jun;18(2):561-581. Epub 2017 Okt 28. doi: 10.1007/s00028-017-0411-5
Black, Tobias ; Lankeit, J. ; Mizukami, M. / Singular sensitivity in a Keller–Segel-fluid system. in: Journal of evolution equations. 2018 ; Jahrgang 18, Nr. 2. S. 561-581.
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AU - Lankeit, J.

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N1 - Publisher Copyright: © 2017, Springer International Publishing AG.

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