Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 1569-1596 |
Seitenumfang | 28 |
Fachzeitschrift | NONLINEARITY |
Jahrgang | 32 |
Ausgabenummer | 5 |
Publikationsstatus | Veröffentlicht - 12 Apr. 2019 |
Extern publiziert | Ja |
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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
- Mathematik (insg.)
- Angewandte Mathematik
- Physik und Astronomie (insg.)
- Statistische und nichtlineare Physik
- Mathematik (insg.)
- Mathematische Physik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: NONLINEARITY, Jahrgang 32, Nr. 5, 12.04.2019, S. 1569-1596.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms
AU - Lankeit, Elisa
AU - Lankeit, Johannes
PY - 2019/4/12
Y1 - 2019/4/12
N2 - 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.
AB - 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.
KW - chemotaxis
KW - generalized solution
KW - global existence
KW - signal consumption
KW - singular sensitivity
UR - http://www.scopus.com/inward/record.url?scp=85067396304&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1805.09205
DO - 10.48550/arXiv.1805.09205
M3 - Article
VL - 32
SP - 1569
EP - 1596
JO - NONLINEARITY
JF - NONLINEARITY
SN - 0951-7715
IS - 5
ER -