{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:52:53Z","timestamp":1760143973208,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,3,6]],"date-time":"2024-03-06T00:00:00Z","timestamp":1709683200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Training Program for Academic and Technical Leaders of Major Disciplines in Jiangxi Province","award":["20204BCJL23057","NSBSJJ2023013"],"award-info":[{"award-number":["20204BCJL23057","NSBSJJ2023013"]}]},{"name":"Doctoral Research Fund of Nanchang Normal University","award":["20204BCJL23057","NSBSJJ2023013"],"award-info":[{"award-number":["20204BCJL23057","NSBSJJ2023013"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this article, we study the Cauchy problem of the chemotaxis-Navier\u2013Stokes system with the consumption and production of chemosignals with a logistic source. The parameters \u03c7\u22600,\u00a0\u03be\u22600,\u00a0\u03bb&gt;0 and \u03bc&gt;0. The system is a model that involves double chemosignals; one is an attractant consumed by the cells themselves, and the other is an attractant or a repellent produced by the cells themselves. We prove the global-in-time existence and uniqueness of the weak solution to the system for a large class of initial data on the whole space R2.<\/jats:p>","DOI":"10.3390\/axioms13030171","type":"journal-article","created":{"date-parts":[[2024,3,6]],"date-time":"2024-03-06T08:43:14Z","timestamp":1709714594000},"page":"171","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Global Existence of Chemotaxis-Navier\u2013Stokes System with Logistic Source on the Whole Space R2"],"prefix":"10.3390","volume":"13","author":[{"given":"Yuting","family":"Xu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Nanchang Normal University, Nanchang 330029, China"},{"name":"School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qianfan","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yao","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yang","family":"Lei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jiangxi University of Finance and Economics, Nanchang 330032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Minghua","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jiangxi University of Finance and Economics, Nanchang 330032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1016\/S0092-8240(03)00030-2","article-title":"Chemotactic signaling, microglia, and Alzheimer\u2019s disease senile plaques: Is there a connection?","volume":"65","author":"Luca","year":"2003","journal-title":"Bull. 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