Finite time blow-up to the Cauchy problem in a higher dimensional two species chemotaxis system

Tae Gab Ha; Seyun Kim

doi:10.1002/mma.9942

Finite time blow-up to the Cauchy problem in a higher dimensional two species chemotaxis system

Tae Gab Ha^*
, Seyun Kim

^*Corresponding author for this work

Department of Mathematics

Jeonbuk National University

Research output: Contribution to journal › Journal article › peer-review

Abstract

In this paper, we study a blow-up radial solution to the fully parabolic chemotaxis system with the higher dimensional two species Cauchy problem. In addition, we show that the set of positive radial functions in (Formula presented.) has a dense subset composed of positive radial initial data causing blow-up in finite time with respect to topology (Formula presented.) for (Formula presented.).

Original language	English
Pages (from-to)	6633-6651
Number of pages	19
Journal	Mathematical Methods in the Applied Sciences
Volume	47
Issue number	7
DOIs	https://doi.org/10.1002/mma.9942
State	Published - 2024.05.15

Keywords

blow-up
two species chemotaxis system

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1002/mma.9942

Cite this

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title = "Finite time blow-up to the Cauchy problem in a higher dimensional two species chemotaxis system",

abstract = "In this paper, we study a blow-up radial solution to the fully parabolic chemotaxis system with the higher dimensional two species Cauchy problem. In addition, we show that the set of positive radial functions in (Formula presented.) has a dense subset composed of positive radial initial data causing blow-up in finite time with respect to topology (Formula presented.) for (Formula presented.).",

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note = "Publisher Copyright: {\textcopyright} 2024 John Wiley \& Sons Ltd.",

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T1 - Finite time blow-up to the Cauchy problem in a higher dimensional two species chemotaxis system

AU - Ha, Tae Gab

AU - Kim, Seyun

PY - 2024/5/15

Y1 - 2024/5/15

N2 - In this paper, we study a blow-up radial solution to the fully parabolic chemotaxis system with the higher dimensional two species Cauchy problem. In addition, we show that the set of positive radial functions in (Formula presented.) has a dense subset composed of positive radial initial data causing blow-up in finite time with respect to topology (Formula presented.) for (Formula presented.).

AB - In this paper, we study a blow-up radial solution to the fully parabolic chemotaxis system with the higher dimensional two species Cauchy problem. In addition, we show that the set of positive radial functions in (Formula presented.) has a dense subset composed of positive radial initial data causing blow-up in finite time with respect to topology (Formula presented.) for (Formula presented.).

KW - blow-up

KW - two species chemotaxis system

UR - https://www.scopus.com/pages/publications/85184899834

U2 - 10.1002/mma.9942

DO - 10.1002/mma.9942

M3 - Journal article

AN - SCOPUS:85184899834

SN - 0170-4214

VL - 47

SP - 6633

EP - 6651

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 7

ER -

Finite time blow-up to the Cauchy problem in a higher dimensional two species chemotaxis system

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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