A Kinetic Chemotaxis Model with Internal States and Temporal Sensing

Zhi An Wang

doi:10.3934/krm.2021043

A Kinetic Chemotaxis Model with Internal States and Temporal Sensing

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

By employing the Fourier transform to derive key a priori estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model with internal states and temporal gradient in one dimension, which is a system of two transport equations coupled to a parabolic equation proposed in [4]

Original language	English
Pages (from-to)	27-48
Number of pages	22
Journal	Kinetic and Related Models
Volume	15
Issue number	1
DOIs	https://doi.org/10.3934/krm.2021043
Publication status	Published - Feb 2022

Keywords

Global solutions
Hyperbolic limits
Internal states
Kinetic chemotaxis model
Temporal gradient

ASJC Scopus subject areas

Numerical Analysis
Modelling and Simulation

More information

10.3934/krm.2021043

http://hdl.handle.net/10397/93827

Cite this

@article{9635226dfd72478d8af32a8aeff9b058,

title = "A Kinetic Chemotaxis Model with Internal States and Temporal Sensing",

abstract = "By employing the Fourier transform to derive key a priori estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model with internal states and temporal gradient in one dimension, which is a system of two transport equations coupled to a parabolic equation proposed in [4]",

keywords = "Global solutions, Hyperbolic limits, Internal states, Kinetic chemotaxis model, Temporal gradient",

author = "Wang, {Zhi An}",

note = "Funding Information: 2020 Mathematics Subject Classification. Primary: 35M30, 35R09; Secondary: 45K05, 92C17. Key words and phrases. Kinetic chemotaxis model, internal states, temporal gradient, global solutions, hyperbolic limits. The author is supported by the Hong Kong Research Grant Council General Research Fund No. PolyU 153055/18P (Project ID: P0005472). Publisher Copyright: {\textcopyright} American Institute of Mathematical Sciences",

year = "2022",

month = feb,

doi = "10.3934/krm.2021043",

language = "English",

volume = "15",

pages = "27--48",

journal = "Kinetic and Related Models",

issn = "1937-5093",

publisher = "American Institute of Mathematical Sciences",

number = "1",

}

TY - JOUR

T1 - A Kinetic Chemotaxis Model with Internal States and Temporal Sensing

AU - Wang, Zhi An

N1 - Funding Information: 2020 Mathematics Subject Classification. Primary: 35M30, 35R09; Secondary: 45K05, 92C17. Key words and phrases. Kinetic chemotaxis model, internal states, temporal gradient, global solutions, hyperbolic limits. The author is supported by the Hong Kong Research Grant Council General Research Fund No. PolyU 153055/18P (Project ID: P0005472). Publisher Copyright: © American Institute of Mathematical Sciences

PY - 2022/2

Y1 - 2022/2

N2 - By employing the Fourier transform to derive key a priori estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model with internal states and temporal gradient in one dimension, which is a system of two transport equations coupled to a parabolic equation proposed in [4]

AB - By employing the Fourier transform to derive key a priori estimates for the temporal gradient of the chemical signal, we establish the existence of global solutions and hydrodynamic limit of a chemotactic kinetic model with internal states and temporal gradient in one dimension, which is a system of two transport equations coupled to a parabolic equation proposed in [4]

KW - Global solutions

KW - Hyperbolic limits

KW - Internal states

KW - Kinetic chemotaxis model

KW - Temporal gradient

UR - http://www.scopus.com/inward/record.url?scp=85125038070&partnerID=8YFLogxK

U2 - 10.3934/krm.2021043

DO - 10.3934/krm.2021043

M3 - Journal article

AN - SCOPUS:85125038070

SN - 1937-5093

VL - 15

SP - 27

EP - 48

JO - Kinetic and Related Models

JF - Kinetic and Related Models

IS - 1

ER -

A Kinetic Chemotaxis Model with Internal States and Temporal Sensing

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this