Asymptotic Stability for the 3D Navier-Stokes Equations

Yong Zhou

doi:10.1081/PDE-200037770

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Asymptotic Stability for the 3D Navier-Stokes Equations

Journal article

Peer reviewed

Asymptotic Stability for the 3D Navier-Stokes Equations

Yong Zhou

Communications in partial differential equations, Vol.30(3), pp.323-333

01/03/2005

DOI: https://doi.org/10.1081/PDE-200037770

Abstract

Asymptotic stability

Navier-Stokes equations

Stokes operator

In this paper we consider the 3D Navier-Stokes equations in Ω ⊂ ℝ 3 , not necessarily bounded. We prove the asymptotic stability for weak solutions in the class ∇u ∈ L α (0, ∞;L γ (Ω)) for with arbitrary initial and external perturbations.

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Title: Asymptotic Stability for the 3D Navier-Stokes Equations
Creators - without role: Yong Zhou - Chinese University of Hong Kong
Publication Details: Communications in partial differential equations, Vol.30(3), pp.323-333
Publisher: Taylor & Francis Group
Identifiers: 9936165308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article