有界域中零热传导的二维完全可压缩 Navier-Stokes 方程的奇点形成
偏微分方程分析
2018-10-03 v1
摘要
我们考虑有界域中零热传导的二维完全可压缩 Navier-Stokes 方程强解的奇点形成。结果表明，对于允许真空的初始密度，若密度与压力从上方面有界，则强解整体存在。对数型临界 Sobolev 不等式在证明中起关键作用。
引用
@article{arxiv.1810.01265,
title = {Singularity formation to the two-dimensional full compressible Navier-Stokes equations with zero heat conduction in a bounded domain},
author = {Xin Zhong},
journal= {arXiv preprint arXiv:1810.01265},
year = {2018}
}
备注
13 pages. arXiv admin note: substantial text overlap with arXiv:1801.10036, arXiv:1705.05161, arXiv:1705.06606