@Article{CMAA-1-241,
author = {Hu , Xianpeng},
title = {Self-Similar Solutions of Leray’s Type for Compressible Navier-Stokes Equations in Two Dimension},
journal = {Communications in Mathematical Analysis and Applications},
year = {2022},
volume = {1},
number = {2},
pages = {241--262},
abstract = {<p style="text-align: justify;">We study the backward self-similar solution of Leray’s type for compressible Navier-Stokes equations in dimension two. The existence of weak solutions is established via a compactness argument with the help of an higher
integrability of density. Moreover, if the density belongs to $L^∞(\mathbb{R}^2)$ and the
velocity belongs to $L^2(\mathbb{R}^2),$ the solution is trivial; that is $(\rho,\mathbf{u})=0.$</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2022-0001},
url = {http://global-sci.org/intro/article_detail/cmaa/20307.html}
}