Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Nikolaos Bournaveas; Vincent Calvez

doi:10.3934/krm.2008.1.29

Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Nikolaos Bournaveas, Vincent Calvez

School of Mathematics

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

Abstract

This paper is concerned with the kinetic model of Othmer-Dunbar-Alt for bacterial motion. Following a previous work, we apply the dispersion and Strichartz estimates to prove global existence under several borderline growth assumptions on the turning kernel. In particular we study the kinetic model with internal variables taking into account the complex molecular network inside the cell.

Original language	English
Pages (from-to)	29-48
Number of pages	20
Journal	Kinetic and Related Models
Volume	1
Issue number	1
DOIs	https://doi.org/10.3934/krm.2008.1.29
Publication status	Published - Mar 2008

Keywords

kinetic model
bacterial motion
chemotaxis
dispersion estimates
Strichartz estimates
internal variables

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10.3934/krm.2008.1.29

http://www.aimsciences.org/journals/displayArticles.jsp?paperID=3011

Cite this

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title = "Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables",

abstract = "This paper is concerned with the kinetic model of Othmer-Dunbar-Alt for bacterial motion. Following a previous work, we apply the dispersion and Strichartz estimates to prove global existence under several borderline growth assumptions on the turning kernel. In particular we study the kinetic model with internal variables taking into account the complex molecular network inside the cell.",

keywords = "kinetic model , bacterial motion , chemotaxis , dispersion estimates , Strichartz estimates , internal variables ",

author = "Nikolaos Bournaveas and Vincent Calvez",

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AU - Bournaveas, Nikolaos

AU - Calvez, Vincent

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AB - This paper is concerned with the kinetic model of Othmer-Dunbar-Alt for bacterial motion. Following a previous work, we apply the dispersion and Strichartz estimates to prove global existence under several borderline growth assumptions on the turning kernel. In particular we study the kinetic model with internal variables taking into account the complex molecular network inside the cell.

KW - kinetic model

KW - bacterial motion

KW - chemotaxis

KW - dispersion estimates

KW - Strichartz estimates

KW - internal variables

U2 - 10.3934/krm.2008.1.29

DO - 10.3934/krm.2008.1.29

M3 - Article

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EP - 48

JO - Kinetic and Related Models

JF - Kinetic and Related Models

SN - 1937-5093

IS - 1

ER -

Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Abstract

Keywords

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