A 3D Euler equation solution with 2D sets of singularities and data with Hoelder continuous first order derivatives
Analysis of PDEs
2016-03-17 v2
Abstract
An example of a solution branch of the three dimensional Euler equation Cauchy problem is constructed which develops a singular velocity component and a singular vorticity component after finite time for some data which have Hoelder continuous first order spatial derivatives. Such a solution branch can be extended beyond a time section at some positive finite time where a two dimensional set of singularities is located.
Cite
@article{arxiv.1511.05469,
title = {A 3D Euler equation solution with 2D sets of singularities and data with Hoelder continuous first order derivatives},
author = {Joerg Kampen},
journal= {arXiv preprint arXiv:1511.05469},
year = {2016}
}
Comments
10 p. revised