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Global Existence of Chemotaxis-Navier–Stokes System with Logistic Source on the Whole Space R2
- Source :
- Axioms, Vol 13, Iss 3, p 171 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
Abstract
- In this article, we study the Cauchy problem of the chemotaxis-Navier–Stokes system with the consumption and production of chemosignals with a logistic source. The parameters χ≠0, ξ≠0, λ>0 and μ>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.
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Axioms
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f4ae1b4ff5941df831f4601358aaee9
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/axioms13030171