Global Existence of Infinite Energy Solutions for a Perfect Incompressible Fluid
Analysis of PDEs
2009-02-27 v2 Mathematical Physics
math.MP
Abstract
This paper provides results on local and global existence for a class of solutions to the Euler equations for an incompressible, inviscid fluid. By considering a class of solutions which exhibits a characteristic growth at infinity we obtain an initial value problem for a nonlocal equation. We establish local well-posedness in all dimensions and persistence in time of these solutions for three and higher dimensions. We also examine a weaker class of global solutions.
Keywords
Cite
@article{arxiv.math/0608670,
title = {Global Existence of Infinite Energy Solutions for a Perfect Incompressible Fluid},
author = {Ralph Saxton and Feride Tiglay},
journal= {arXiv preprint arXiv:math/0608670},
year = {2009}
}