Type: Article
Publication Date: 2015-06-21
Citations: 46
DOI: https://doi.org/10.2140/apde.2015.8.883
We study the quintic Non Linear Schr\"odinger equation on a two dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to reduce to a sufficiently simple toy model, similar in many ways to the one used in the case of the cubic NLS. This requires an accurate combinatorial analysis.