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Global solvability of a two-species chemotaxis–fluid system with Lotka–Volterra type competitive kinetics.
- Source :
-
Mathematical Models & Methods in Applied Sciences . May2024, Vol. 34 Issue 5, p845-880. 36p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study a two-species chemotaxis–fluid system with Lotka–Volterra type competitive kinetics in a bounded and smooth domain Ω ⊂ ℝ 3 with no-flux/Dirichlet boundary conditions. We present the global existence of weak energy solution to a two-species chemotaxis Navier–Stokes system, and then the global weak energy solution which coincides with a smooth function throughout Ω ¯ × Π , where Π represents a countable union of open intervals which is such that | (0 , ∞) ∖ Π | = 0. In such two-species chemotaxis–fluid setting, our existence improves known blow-up prevention by logistic source to blow-up prevention by sub-logistic source, indicating standard logistic source is not the weakest damping source to prevent blow-up. This finding significantly extends previously known ones. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CHEMOTAXIS
*SMOOTHNESS of functions
Subjects
Details
- Language :
- English
- ISSN :
- 02182025
- Volume :
- 34
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Mathematical Models & Methods in Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 176467476
- Full Text :
- https://doi.org/10.1142/S0218202524500167