Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data
Analysis of PDEs
2017-09-13 v2
Abstract
We prove global well-posedness of the two-dimensional exterior Navier-Stokes equations for bounded initial data with a finite Dirichlet integral, subject to the non-slip boundary condition. As an application, we construct global solutions for asymptotically constant initial data and arbitrary large Reynolds numbers.
Keywords
Cite
@article{arxiv.1608.06424,
title = {Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data},
author = {Ken Abe},
journal= {arXiv preprint arXiv:1608.06424},
year = {2017}
}
Comments
40 pages, final version