We consider the problem of the asymptotic behaviour in the L2-norm of solutions of the Navier–Stokes equations. We consider perturbations to the rest state and to stationary motions. In both cases we study the initial-boundary value problem in unbounded domains with non-compact boundary. In particular, we deal with domains with varying and possibly divergent exits to infinity and aperture domains.
On the asymptotic stability of steady solutions of the Navier Stokes equations in unbounded domains
CRISPO, Francesca;TARTAGLIONE, Alfonsina
2007
Abstract
We consider the problem of the asymptotic behaviour in the L2-norm of solutions of the Navier–Stokes equations. We consider perturbations to the rest state and to stationary motions. In both cases we study the initial-boundary value problem in unbounded domains with non-compact boundary. In particular, we deal with domains with varying and possibly divergent exits to infinity and aperture domains.File in questo prodotto:
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