Premium
On the asymptotic stability of steady solutions of the Navier–Stokes equations in unbounded domains
Author(s) -
Crispo Francesca,
Tartaglione Alfonsina
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.845
Subject(s) - mathematics , exponential stability , infinity , mathematical analysis , norm (philosophy) , boundary value problem , stability (learning theory) , navier–stokes equations , steady state (chemistry) , boundary (topology) , compressibility , nonlinear system , physics , chemistry , quantum mechanics , machine learning , political science , computer science , law , thermodynamics
We consider the problem of the asymptotic behaviour in the L 2 ‐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. Copyright © 2007 John Wiley & Sons, Ltd.