Back to Search
Start Over
The rates of convergence for the chemotaxis-Navier–Stokes equations in a strip domain.
- Source :
- Applicable Analysis; 2022, Vol. 101 Issue 3, p952-969, 18p
- Publication Year :
- 2022
-
Abstract
- In this paper, we study the long-time behavior of the chemotaxis-Navier–Stokes system ∂ t n + u ⋅ ∇ n = λ Δ n − ∇ ⋅ (χ (c) n ∇ c) , ∂ t c + u ⋅ ∇ c = μ Δ c − f (c) n , ∂ t u + u ⋅ ∇ u + ∇ P = ζ Δ u − n ∇ φ , ∇ ⋅ u = 0 , t > 0 , x ∈ Ω posed in a strip domain Ω := R 2 × [ 0 , 1 ] ⊂ R 3 . In Peng-Xiang (Math. Models Methods Appl. Sci., 28 (2018), 869-920), the authors have established the global existence of strong solutions to this system with non-flux boundary conditions for n and c and non-slip boundary conditions for u. Our main purpose is to establish the time-decay rates for such solutions. This will be done by using the anisotropic L p interpolation and the iterative techniques. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
INTERPOLATION
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 101
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 155832561
- Full Text :
- https://doi.org/10.1080/00036811.2020.1766027