@Article{AAM-40-285,
author = {Ye , YulinWang , Yanqing and Yu , Huan},
title = {Energy Equality for the Isentropic Compressible Navier-Stokes Equations Without Upper Bound of the Density},
journal = {Annals of Applied Mathematics},
year = {2024},
volume = {40},
number = {3},
pages = {285--313},
abstract = {<p style="text-align: justify;">In this paper, we are concerned with the minimal regularity of both
the density and the velocity for the weak solutions keeping energy equality in the
isentropic compressible Navier-Stokes equations. The energy equality criteria
without upper bound of the density are established for the first time. Our results
imply that the lower integrability of the density $\rho$ means that more integrability
of the velocity $v$ or the gradient of the velocity $∇v$ are necessary for energy
conservation of the isentropic compressible fluid and the inverse is also true.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2024-0010},
url = {http://global-sci.org/intro/article_detail/aam/23422.html}
}