The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation

In this paper, we propose and study a stochastic aggregation–diffusion equation of the Keller–Segel (KS) type for modeling the chemotaxis in dimensions [Formula: see text] . Unlike the classical deterministic KS system, which only allows for idiosyncratic noises, the stochastic KS equation is derive...

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Autores principales: Huang, Hui, Qiu, Jinniao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7939045/
https://www.ncbi.nlm.nih.gov/pubmed/33758469
http://dx.doi.org/10.1007/s00332-020-09661-6
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author Huang, Hui
Qiu, Jinniao
author_facet Huang, Hui
Qiu, Jinniao
author_sort Huang, Hui
collection PubMed
description In this paper, we propose and study a stochastic aggregation–diffusion equation of the Keller–Segel (KS) type for modeling the chemotaxis in dimensions [Formula: see text] . Unlike the classical deterministic KS system, which only allows for idiosyncratic noises, the stochastic KS equation is derived from an interacting particle system subject to both idiosyncratic and common noises. Both the unique existence of solutions to the stochastic KS equation and the mean-field limit result are addressed.
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spelling pubmed-79390452021-03-21 The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation Huang, Hui Qiu, Jinniao J Nonlinear Sci Article In this paper, we propose and study a stochastic aggregation–diffusion equation of the Keller–Segel (KS) type for modeling the chemotaxis in dimensions [Formula: see text] . Unlike the classical deterministic KS system, which only allows for idiosyncratic noises, the stochastic KS equation is derived from an interacting particle system subject to both idiosyncratic and common noises. Both the unique existence of solutions to the stochastic KS equation and the mean-field limit result are addressed. Springer US 2020-12-18 2021 /pmc/articles/PMC7939045/ /pubmed/33758469 http://dx.doi.org/10.1007/s00332-020-09661-6 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Huang, Hui
Qiu, Jinniao
The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation
title The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation
title_full The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation
title_fullStr The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation
title_full_unstemmed The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation
title_short The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation
title_sort microscopic derivation and well-posedness of the stochastic keller–segel equation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7939045/
https://www.ncbi.nlm.nih.gov/pubmed/33758469
http://dx.doi.org/10.1007/s00332-020-09661-6
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