Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source

Mario Fuest; Johannes Lankeit; Masaaki Mizukami

doi:10.3934/dcds.2024148

Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source

Mario Fuest^*, Johannes Lankeit, Masaaki Mizukami

^*Corresponding author for this work

Institute of Applied Mathematics

Kyoto University of Education

Research output: Contribution to journal › Article › Research › peer review

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.

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
DOIs	https://doi.org/10.3934/dcds.2024148 https://doi.org/10.48550/arXiv.2406.11746
Publication status	Published - Jun 2025

Keywords

blow-up set
Chemotaxis
logistic source
spatial heterogeneity
spatially local bounds

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2024148Licence: CC BY 4.0
10.48550/arXiv.2406.11746Licence: Arxiv nonexclusive-distrib 1.0

Cite this

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title = "Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source",

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",

author = "Mario Fuest and Johannes Lankeit and Masaaki Mizukami",

year = "2025",

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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

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

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U2 - 10.3934/dcds.2024148

DO - 10.3934/dcds.2024148

M3 - Article

AN - SCOPUS:85213707197

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VL - 45

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 6

ER -

Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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