Construction of blow-up solutions for Zakharov system on $\mathbb{T}^2$
Analysis of PDEs
2012-09-05 v2
Abstract
We consider the Zakharov system in two space dimension with periodic boundary condition. We prove the existence of finite time blow-up solutions. Further, we show there exists no minimal mass blow-up solution.
Keywords
Cite
@article{arxiv.1109.3528,
title = {Construction of blow-up solutions for Zakharov system on $\mathbb{T}^2$},
author = {Nobu Kishimoto and Masaya Maeda},
journal= {arXiv preprint arXiv:1109.3528},
year = {2012}
}
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39 pages