环面上半地转方程光滑解的长时存在性
偏微分方程分析
2015-10-06 v3
摘要
在这项工作中，我们展示了当初始对偶密度在两个正常数之间有界且光滑时，环面上半地转方程光滑解的长时存在性。关键要素是对[1]中建立的蒙日-安培方程C^2范数更精确的估计。
引用
@article{arxiv.1502.07665,
title = {Long time existence of smooth solutions to semigeostrophic equations on a torus},
author = {Jingrui Cheng},
journal= {arXiv preprint arXiv:1502.07665},
year = {2015}
}
备注
This paper has been withdrawn because the key estimate turns out incorrect