Singularity formation to the two-dimensional full compressible Navier-Stokes equations with zero heat conduction in a bounded domain
Analysis of PDEs
2018-10-03 v1
Abstract
We consider the singularity formation of strong solutions to the two-dimensional full compressible Navier-Stokes equations with zero heat conduction in a bounded domain. It is shown that for the initial density allowing vacuum, the strong solution exists globally if the density and the pressure are bounded from above. Critical Sobolev inequalities of logarithmic type play a crucial role in the proof.
Keywords
Cite
@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}
}
Comments
13 pages. arXiv admin note: substantial text overlap with arXiv:1801.10036, arXiv:1705.05161, arXiv:1705.06606