Qualitative analysis of three-wave interaction with periodic boundary condition
Analysis of PDEs
2016-04-26 v3
Abstract
First, for 3WRI with positive wave energy, we present a regularity theorem for all spatial dimension. Second, for 3WRI with negative wave energy, we present a class of solution in general spatial dimension that will blow up in finite time. Moreover, a complete classification of spatial uniform solution is given for this particular system.
Keywords
Cite
@article{arxiv.1603.00915,
title = {Qualitative analysis of three-wave interaction with periodic boundary condition},
author = {Ze Cheng and Harvey Segur},
journal= {arXiv preprint arXiv:1603.00915},
year = {2016}
}