Asymptotic stability for the Navier-Stokes equations

Jishan Fan; Tohru Ozawa

doi:10.1007/s00028-008-0396-1

Asymptotic stability for the Navier-Stokes equations

Jishan Fan, Tohru Ozawa

Research output: Contribution to journal › Article

2 Citations (Scopus)

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	https://doi.org/10.1007/s00028-008-0396-1
Publication status	Published - 2008 May
Externally published	Yes

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Navier-Stokes equations

Asymptotic Stability

3D

Weak Solution

Navier-Stokes Equations

perturbation

Perturbation

Arbitrary

Class

Keywords

Asymptotic stability
Besov spaces
Navier-Stokes equations

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics

Cite this

Fan, J., & Ozawa, T. (2008). Asymptotic stability for the Navier-Stokes equations. Journal of Evolution Equations, 8(2), 379-389. https://doi.org/10.1007/s00028-008-0396-1

Asymptotic stability for the Navier-Stokes equations. / Fan, Jishan; Ozawa, Tohru.

In: Journal of Evolution Equations, Vol. 8, No. 2, 05.2008, p. 379-389.

Research output: Contribution to journal › Article

Fan, J & Ozawa, T 2008, 'Asymptotic stability for the Navier-Stokes equations', Journal of Evolution Equations, vol. 8, no. 2, pp. 379-389. https://doi.org/10.1007/s00028-008-0396-1

Fan J, Ozawa T. Asymptotic stability for the Navier-Stokes equations. Journal of Evolution Equations. 2008 May;8(2):379-389. https://doi.org/10.1007/s00028-008-0396-1

Fan, Jishan ; Ozawa, Tohru. / Asymptotic stability for the Navier-Stokes equations. In: Journal of Evolution Equations. 2008 ; Vol. 8, No. 2. pp. 379-389.

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10.1007/s00028-008-0396-1