Immediate smoothing and global solutions for initial data in L1× W1,2in a Keller-Segel system with logistic terms in 2D

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

Autorschaft

  • Johannes Lankeit

Externe Organisationen

  • Universität Paderborn
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Details

OriginalspracheEnglisch
Seiten (von - bis)1204-1224
Seitenumfang21
FachzeitschriftProceedings of the Royal Society of Edinburgh Section A: Mathematics
Jahrgang151
Ausgabenummer4
PublikationsstatusVeröffentlicht - Aug. 2021
Extern publiziertJa

Abstract

This paper deals with the logistic Keller-Segel model in bounded two-dimensional domains (with homogeneous Neumann boundary conditions and for parameters χ, κ ∈ ℝ and μ > 0), and shows that any nonnegative initial data (u0, v0) ∈ L1 × W1,2 lead to global solutions that are smooth in.

ASJC Scopus Sachgebiete

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Immediate smoothing and global solutions for initial data in L1× W1,2in a Keller-Segel system with logistic terms in 2D. / Lankeit, Johannes.
in: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Jahrgang 151, Nr. 4, 08.2021, S. 1204-1224.

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

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