Abstract
We prove the asymptotic stability for weak solutions to the 3-D Navier-Stokes equations in the class ∇u ∈ L1(0, ∞; Ḃ∞∞0(ℝ3)) ∩ LLogL(0, ∞; Ḃ∞∞0(ℝ3)) with arbitrary initial and external perturbations. This solves a problem due to Yong Zhou (Proc. Roy. Soc. Edinburgh, 136A (2006), 1099-1109).
Original language | English |
---|---|
Pages (from-to) | 379-389 |
Number of pages | 11 |
Journal | Journal of Evolution Equations |
Volume | 8 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2008 May 1 |
Externally published | Yes |
Keywords
- Asymptotic stability
- Besov spaces
- Navier-Stokes equations
ASJC Scopus subject areas
- Mathematics (miscellaneous)