On the flow map for 2D Euler equations with unbounded vorticity
Analysis of PDEs
2015-05-30 v1 Classical Analysis and ODEs
Abstract
In Part I, we construct a class of examples of initial velocities for which the unique solution to the Euler equations in the plane has an associated flow map that lies in no Holder space of positive exponent for any positive time. In Part II, we explore inverse problems that arise in attempting to construct an example of an initial velocity producing an arbitrarily poor modulus of continuity of the flow map.
Cite
@article{arxiv.1108.2079,
title = {On the flow map for 2D Euler equations with unbounded vorticity},
author = {James P. Kelliher},
journal= {arXiv preprint arXiv:1108.2079},
year = {2015}
}
Comments
http://iopscience.iop.org/0951-7715/24/9/013/ for published version