Stabilization of the chemotaxis–Navier–Stokes equations: Maximal regularity approach

Consider the chemotaxis–Navier–Stokes equations in a bounded smooth domain Ω⊂Rd for d≥3. We show that any solution starting close to an equilibrium exists globally and converges exponentially fast to the equilibrium as time tends to infinity, provided that the initial density n0 of amoebae satisfies...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2021-12, Vol.504 (2), p.125422, Article 125422
Main Author: Watanabe, Keiichi
Format: Article
Language:English
Subjects:
Chemotaxis–Navier–Stokes equations
Maximal regularity
Stabilization
Well-posedness
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Summary:Consider the chemotaxis–Navier–Stokes equations in a bounded smooth domain Ω⊂Rd for d≥3. We show that any solution starting close to an equilibrium exists globally and converges exponentially fast to the equilibrium as time tends to infinity, provided that the initial density n0 of amoebae satisfies ∫Ωn0dx
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125422