On classes of globally smooth solutions to the Euler equations in several dimensions
Analysis of PDEs
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
It is shown that if the system of the Euler equations has a special global in time smooth solution with the linear profile of velocity, then another solutions with Cauchy data, close in the Sobolev norm to the initial data of the given solution, will be globally smooth as well. The examples of the solutions are constructed.
Cite
@article{arxiv.math/0203230,
title = {On classes of globally smooth solutions to the Euler equations in several dimensions},
author = {Olga S. Rozanova},
journal= {arXiv preprint arXiv:math/0203230},
year = {2007}
}
Comments
20 pages