@Article{ATA-35-28,
author = {Huicheng Yin and Lin Zhang},
title = {On Compressible Smooth Viscous Fluids in Slowly Expanding Balls},
journal = {Analysis in Theory and Applications},
year = {2019},
volume = {35},
number = {1},
pages = {28--65},
abstract = {<p style="text-align: justify;">In [17] and [19, 20], the global existence and large time behaviors of smooth
compressible fluids (including inviscid gases of Euler equations, viscous gases of
Navier-Stokes equations, and rarified gases of Boltzmann equation, respectively) have
been established in an infinitely expanding ball with a constant expansion speed. This
paper concerns with the viscous fluids in a slowly expanding ball. By involved analysis on the density function and the weighted energy estimates, we show that the fluid
in the slowly expanding ball smoothly tends to a vacuum state and there is no appearance of vacuum in any part of the expansive ball. Our present result is a meaningful
supplement to the one in [19].</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-0001},
url = {http://global-sci.org/intro/article_detail/ata/13091.html}
}