Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity

Details Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity

2012-02-22

arxiv.org/abs/1202.4969v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

We consider the incompressible Navier-Stokes equations in a two-dimensional exterior domain, with no-slip boundary conditions. We assume that the initial velocity is a finite-energy and L^q-summable perturbation of the Oseen vortex with circulation \alpha, where 1 < q < 2. If {\alpha} is sufficiently small, we show that the solution behaves asymptotically in time like the self-similar Oseen vortex with circulation \alpha. This is a global stability result, which holds for arbitrarily large perturbations of the Oseen vortex, and our smallness assumption on the circulation is independent of the domain under consideration.

Affiliated with

Also associated with

No associations

Rating

Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long-time asymptotics for two-dimensional exterior flows with small circulation at infinity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415692