Details
| Original language | English |
|---|---|
| Pages (from-to) | 1809-1822 |
| Number of pages | 14 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 45 |
| Issue number | 6 |
| Early online date | Nov 2024 |
| Publication status | Published - Jun 2025 |
Abstract
We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system (Farmuala Presented), in bounded domains Ω ⊂ R2 and show that the blow-up set is contained in the set of zeroes of µ.
Keywords
- blow-up set, Chemotaxis, logistic source, spatial heterogeneity, spatially local bounds
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Discrete and Continuous Dynamical Systems- Series A, Vol. 45, No. 6, 06.2025, p. 1809-1822.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source
AU - Fuest, Mario
AU - Lankeit, Johannes
AU - Mizukami, Masaaki
N1 - Publisher Copyright: © 2025 American Institute of Mathematical Sciences. All rights reserved.
PY - 2025/6
Y1 - 2025/6
N2 - We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system (Farmuala Presented), in bounded domains Ω ⊂ R2 and show that the blow-up set is contained in the set of zeroes of µ.
AB - We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system (Farmuala Presented), in bounded domains Ω ⊂ R2 and show that the blow-up set is contained in the set of zeroes of µ.
KW - blow-up set
KW - Chemotaxis
KW - logistic source
KW - spatial heterogeneity
KW - spatially local bounds
UR - http://www.scopus.com/inward/record.url?scp=85213707197&partnerID=8YFLogxK
U2 - 10.3934/dcds.2024148
DO - 10.3934/dcds.2024148
M3 - Article
AN - SCOPUS:85213707197
VL - 45
SP - 1809
EP - 1822
JO - Discrete and Continuous Dynamical Systems- Series A
JF - Discrete and Continuous Dynamical Systems- Series A
SN - 1078-0947
IS - 6
ER -