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Global Existence of Chemotaxis-Navier–Stokes System with Logistic Source on the Whole Space R 2.
- Source :
- Axioms (2075-1680); Mar2024, Vol. 13 Issue 3, p171, 18p
- Publication Year :
- 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 R 2 . [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL logic
SEMIOCHEMICALS
CAUCHY problem
REPELLENTS
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 176270520
- Full Text :
- https://doi.org/10.3390/axioms13030171