On the asymptotic stability of steady flows with nonzero flux in two-dimensional exterior domains
| Title: | On the asymptotic stability of steady flows with nonzero flux in two-dimensional exterior domains |
|---|---|
| Authors: | Guillod, Julien |
| Source: | Comm. Math. Phys., 352, 201-214, 2017 |
| Publication Year: | 2016 |
| Collection: | Mathematics Mathematical Physics |
| Subject Terms: | Mathematics - Analysis of PDEs, Mathematical Physics, 35Q30, 35B35, 76D05 |
| More Details: | 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. Comment: 13 pages |
| Document Type: | Working Paper |
| DOI: | 10.1007/s00220-016-2794-5 |
| Access URL: | http://arxiv.org/abs/1605.03864 |
| Accession Number: | edsarx.1605.03864 |
| Database: | arXiv |
| DOI: | 10.1007/s00220-016-2794-5 |
|---|