✦ LIBER ✦
Existence and exponential stability in Lr-spaces of stationary Navier–Stokes flows with prescribed flux in infinite cylindrical domains
✍ Scribed by Myong-Hwan Ri; Reinhard Farwig
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 272 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.780
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✦ Synopsis
Abstract
We prove existence, uniqueness and exponential stability of stationary Navier–Stokes flows with prescribed flux in an unbounded cylinder of ℝ^n^,n⩾3, with several exits to infinity provided the total flux and external force are sufficiently small. The proofs are based on analytic semigroup theory, perturbation theory and L^r^ − L^q^‐estimates of a perturbation of the Stokes operator in L^q^‐spaces. Copyright © 2006 John Wiley & Sons, Ltd.