Julien Guillod
Published 2016-05-12Version 1
The Navier-Stokes equations in a two-dimensional exterior domain are considered. The asymptotic stability of stationary solutions satisfying a general hypothesis is proven under any $L^2$-perturbation. In particular the general hypothesis is valid if the steady solution is the sum of the critically decaying flux carrier with flux $|\Phi| < 2\pi$ and a small subcritically decaying term. Under the central symmetry assumption, the general hypothesis is also proven for any critically decaying steady solutions under a suitable smallness condition.
Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid
$L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3$
Asymptotic stability of N-soliton states of NLS
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