具有大初值的二维正压可压缩 Navier-Stokes 方程组 Cauchy 问题的全局经典解
偏微分方程分析
2014-07-22 v1
摘要
对于具有初始密度的周期性初值,我们建立了二维可压缩 Navier-Stokes 方程组强解和经典解的全局存在性与唯一性,前提是剪切粘度为正常数且体积粘度为(其中),而对初值的大小没有任何限制。
引用
@article{arxiv.1407.5349,
title = {Global classical solution to the Cauchy problem of 2D baratropic compressible Navier-Stokes system with large initial data},
author = {Jingchi Huang and Chao Wang},
journal= {arXiv preprint arXiv:1407.5349},
year = {2014}
}
备注
12 pages. arXiv admin note: text overlap with arXiv:1205.5342, arXiv:1207.3746 by other authors