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Internal stabilizability of the Navier–Stokes equations

✍ Scribed by Viorel Barbu; Cătălin Lefter

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 155 KB
Volume: 48
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(02)00261-x

No coin nor oath required. For personal study only.

✦ Synopsis

One shows that the steady-state solutions to Navier-Stokes equations in d-dimensional domains ; d = 2; 3 with Dirichlet and slip curl boundary conditions are exponentially stabilizable by proportional controllers with the support in open subsets ! ⊂ such that \ ! is su ciently "small".

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