@Article{ATA-35-28, author = {}, 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 = {

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].

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-0001}, url = {http://global-sci.org/intro/article_detail/ata/13091.html} }