Long-time existence and resonant approximation for the quadratic nonlinear wave equation with an anisotropic harmonic trapping
Analysis of PDEs
2015-07-08 v1
Abstract
We establish long-time existence and uniqueness for the 2D wave equation with a harmonic potential in one direction. This proof relies on a fine study of the so-called space-time resonances of the equation. Then we derive a resonant system for this equation and we prove that it is a satisfying approximation for the original equation.
Keywords
Cite
@article{arxiv.1507.01683,
title = {Long-time existence and resonant approximation for the quadratic nonlinear wave equation with an anisotropic harmonic trapping},
author = {Nicolas Laillet},
journal= {arXiv preprint arXiv:1507.01683},
year = {2015}
}
Comments
56 pages, 2 figures