无电阻MHD方程的非一致连续依赖与连续依赖
偏微分方程分析
2018-11-26 v2
摘要
本文在Sobolev空间中建立了无电阻MHD方程的连续依赖关系。我们所获得的结果极大地补充了近期文献[C. Fefferman, D. McCormick, J. Robinson and J. Rodrigo, Higher order commutator estimates and local existence for the non-resistive MHD equations and related models, J. Funct. Anal. 267 (2014), 1035--1056]关于对初始数据连续依赖的结果。我们还表明该结果是最优的。更确切地说，我们证明了数据到解的映射在Sobolev空间中不是一致连续依赖的。
引用
@article{arxiv.1811.00375,
title = {Non-uniform continuous dependence and continuous dependence for the non-resistive MHD equations},
author = {Jinlu Li and Zhaoyang Yin and Weipeng Zhu},
journal= {arXiv preprint arXiv:1811.00375},
year = {2018}
}
备注
20 pages