Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1296-1324 |
| Seitenumfang | 29 |
| Fachzeitschrift | Communications on Pure and Applied Analysis |
| Jahrgang | 23 |
| Ausgabenummer | 9 |
| Frühes Online-Datum | Juli 2024 |
| Publikationsstatus | Veröffentlicht - Sept. 2024 |
Abstract
This paper deals with the two-species chemotaxis system with Lotka–Volterra competitive kinetics ( Formula Presented), under homogeneous Neumann boundary conditions and suitable initial conditions, where Ω ⊂ Rn (n ∈ N) is a bounded domain with smooth boundary, d1, d2, d3, χ1, χ2, µ1, µ2 > 0, a1, a2 ≥ 0 and α, β, γ > 0. Under largeness conditions on χ1 and χ2, we show that for suitably regular initial data, any thresholds of the population density can be surpassed, which extends previous results of [38] to the non-symmetric case. The paper contains a well-posedness result for the hyperbolic–hyperbolic–elliptic limit system with d1 = d2 = 0.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Angewandte Mathematik
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in: Communications on Pure and Applied Analysis, Jahrgang 23, Nr. 9, 09.2024, S. 1296-1324.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Large densities in a competitive two-species chemotaxis system in the non-symmetric case
AU - Kohatsu, Shohei
AU - Lankeit, Johannes
N1 - Publisher Copyright: © 2024 American Institute of Mathematical Sciences. All rights reserved.
PY - 2024/9
Y1 - 2024/9
N2 - This paper deals with the two-species chemotaxis system with Lotka–Volterra competitive kinetics ( Formula Presented), under homogeneous Neumann boundary conditions and suitable initial conditions, where Ω ⊂ Rn (n ∈ N) is a bounded domain with smooth boundary, d1, d2, d3, χ1, χ2, µ1, µ2 > 0, a1, a2 ≥ 0 and α, β, γ > 0. Under largeness conditions on χ1 and χ2, we show that for suitably regular initial data, any thresholds of the population density can be surpassed, which extends previous results of [38] to the non-symmetric case. The paper contains a well-posedness result for the hyperbolic–hyperbolic–elliptic limit system with d1 = d2 = 0.
AB - This paper deals with the two-species chemotaxis system with Lotka–Volterra competitive kinetics ( Formula Presented), under homogeneous Neumann boundary conditions and suitable initial conditions, where Ω ⊂ Rn (n ∈ N) is a bounded domain with smooth boundary, d1, d2, d3, χ1, χ2, µ1, µ2 > 0, a1, a2 ≥ 0 and α, β, γ > 0. Under largeness conditions on χ1 and χ2, we show that for suitably regular initial data, any thresholds of the population density can be surpassed, which extends previous results of [38] to the non-symmetric case. The paper contains a well-posedness result for the hyperbolic–hyperbolic–elliptic limit system with d1 = d2 = 0.
KW - blow-up
KW - chemotaxis
KW - logistic source
KW - transient growth
KW - well-posedness
UR - http://www.scopus.com/inward/record.url?scp=85200870825&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2401.17521
DO - 10.48550/arXiv.2401.17521
M3 - Article
AN - SCOPUS:85200870825
VL - 23
SP - 1296
EP - 1324
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
SN - 1534-0392
IS - 9
ER -