Details
| Original language | English |
|---|---|
| Pages (from-to) | 2877-2891 |
| Number of pages | 15 |
| Journal | Applicable analysis |
| Volume | 99 |
| Issue number | 16 |
| Early online date | 1 Mar 2019 |
| Publication status | Published - Dec 2020 |
| Externally published | Yes |
Abstract
This paper deals with the Keller–Segel system with signal-dependent sensitivity (Formula presented.) where (Formula presented.) and S is a given function generalizing the sensitivity (Formula presented.), k>1, (Formula presented.), and shows exponential convergence of global classical solutions under an additional smallness condition for (Formula presented.).
Keywords
- 35B40 (primary), 35K51, 35Q92 (secondary), 92C17, asymptotic behaviour, Chemotaxis system, J. Shi, signal-dependent sensitivity
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Applicable analysis, Vol. 99, No. 16, 12.2020, p. 2877-2891.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stabilization in the Keller–Segel system with signal-dependent sensitivity
AU - Black, Tobias
AU - Lankeit, Johannes
AU - Mizukami, Masaaki
N1 - Funding Information: TB and JL acknowledge support of the Deutsche Forschungsgemeinschaft within the project Analysis of chemotactic cross-diffusion in complex frameworks. MM is funded by Japan Society for the Promotion of Science (JSPS) Research Fellowships for Young Scientists (No. 17J00101) and JSPS Overseas Challenge Programme for Young Researchers. The authors would like to thank the anonymous referees for their helpful comments. Publisher Copyright: © 2019 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2020/12
Y1 - 2020/12
N2 - This paper deals with the Keller–Segel system with signal-dependent sensitivity (Formula presented.) where (Formula presented.) and S is a given function generalizing the sensitivity (Formula presented.), k>1, (Formula presented.), and shows exponential convergence of global classical solutions under an additional smallness condition for (Formula presented.).
AB - This paper deals with the Keller–Segel system with signal-dependent sensitivity (Formula presented.) where (Formula presented.) and S is a given function generalizing the sensitivity (Formula presented.), k>1, (Formula presented.), and shows exponential convergence of global classical solutions under an additional smallness condition for (Formula presented.).
KW - 35B40 (primary)
KW - 35K51
KW - 35Q92 (secondary)
KW - 92C17
KW - asymptotic behaviour
KW - Chemotaxis system
KW - J. Shi
KW - signal-dependent sensitivity
UR - http://www.scopus.com/inward/record.url?scp=85062467383&partnerID=8YFLogxK
U2 - 10.1080/00036811.2019.1585534
DO - 10.1080/00036811.2019.1585534
M3 - Article
AN - SCOPUS:85062467383
VL - 99
SP - 2877
EP - 2891
JO - Applicable analysis
JF - Applicable analysis
SN - 0003-6811
IS - 16
ER -