Details
| Original language | English |
|---|---|
| Pages (from-to) | 421-445 |
| Number of pages | 25 |
| Journal | Nonlinear Analysis: Real World Applications |
| Volume | 46 |
| Early online date | 23 Oct 2018 |
| Publication status | Published - Apr 2019 |
| Externally published | Yes |
Abstract
Assuming that [Formula presented], [Formula presented] and [Formula presented], we prove global existence of classical solutions to a chemotaxis system slightly generalizing [Formula presented]in a bounded domain [Formula presented], with homogeneous Neumann boundary conditions and for widely arbitrary positive initial data. In the spatially one-dimensional setting, we prove global existence and, moreover, boundedness of the solution for any [Formula presented], [Formula presented], [Formula presented].
Keywords
- Boundedness, Chemotaxis, Classical solution, Global existence, Logistic source, Signal consumption, Singular sensitivity
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- General Engineering
- Economics, Econometrics and Finance(all)
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Nonlinear Analysis: Real World Applications, Vol. 46, 04.2019, p. 421-445.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption
AU - Lankeit, Elisa
AU - Lankeit, Johannes
PY - 2019/4
Y1 - 2019/4
N2 - Assuming that [Formula presented], [Formula presented] and [Formula presented], we prove global existence of classical solutions to a chemotaxis system slightly generalizing [Formula presented]in a bounded domain [Formula presented], with homogeneous Neumann boundary conditions and for widely arbitrary positive initial data. In the spatially one-dimensional setting, we prove global existence and, moreover, boundedness of the solution for any [Formula presented], [Formula presented], [Formula presented].
AB - Assuming that [Formula presented], [Formula presented] and [Formula presented], we prove global existence of classical solutions to a chemotaxis system slightly generalizing [Formula presented]in a bounded domain [Formula presented], with homogeneous Neumann boundary conditions and for widely arbitrary positive initial data. In the spatially one-dimensional setting, we prove global existence and, moreover, boundedness of the solution for any [Formula presented], [Formula presented], [Formula presented].
KW - Boundedness
KW - Chemotaxis
KW - Classical solution
KW - Global existence
KW - Logistic source
KW - Signal consumption
KW - Singular sensitivity
UR - http://www.scopus.com/inward/record.url?scp=85055193530&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1803.04006
DO - 10.48550/arXiv.1803.04006
M3 - Article
AN - SCOPUS:85055193530
VL - 46
SP - 421
EP - 445
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
SN - 1468-1218
ER -