Long time existence of smooth solutions to semigeostrophic equations on a torus
Analysis of PDEs
2015-10-06 v3
Abstract
In this work,we show the long time existence of smooth solu- tions to semigeostrophic equations on a torus when the initial dual density is bounded between two positive constants and smooth.The key ingredient is a more precise estimate on C 2 norm of Monge-Amp`re equations established e in [1] .
Keywords
Cite
@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}
}
Comments
This paper has been withdrawn because the key estimate turns out incorrect