On 3-D vortex patches in bounded domains
偏微分方程分析
2007-05-23 v1
摘要
This article concerns the equations of motion of perfect incompressible fluids in a 3-D, smooth, bounded, simply connected domain. We suppose that the curl of the initial velocity field is a vortex patch, and examine the classical problems of the existence of a solution, either locally or globally in time, and of the persistence of the initial regularity.
引用
@article{arxiv.math/0302066,
title = {On 3-D vortex patches in bounded domains},
author = {Alexandre Dutrifoy},
journal= {arXiv preprint arXiv:math/0302066},
year = {2007}
}
备注
34 pages