On a kinetic equation in weak turbulence theory for the nonlinear Schr\"odinger equation
Mathematical Physics
2016-06-24 v1 math.MP
Abstract
The results from J. Stat. Phys. 159:668-712 & 163:1350-1393, on a quadratic kinetic equation in the analysis of the long time asymptotics of weak turbulence theory for the nonlinear Schr\"odinger equation, are summarized and placed in context. Additionally, two conjectures on self-similar solutions are presented, and backed with consistency analysis and numerics.
Keywords
Cite
@article{arxiv.1606.07290,
title = {On a kinetic equation in weak turbulence theory for the nonlinear Schr\"odinger equation},
author = {A. H. M. Kierkels},
journal= {arXiv preprint arXiv:1606.07290},
year = {2016}
}
Comments
14 pages, 5 figures