Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum

Content Provider	Semantic Scholar
Author	Gong, Huajun Li, Jinkai Liu, Xian-Gao Zhang, Xiaotao
Copyright Year	2019
Abstract	In this paper, the local well-posedness of strong solutions to the Cauchy problem of the isentropic compressible Navier-Stokes equations is proved with the initial date being allowed to have vacuum. The main contribution of this paper is that the well-posedness is established without assuming any compatibility condition on the initial data, which was widely used before in many literatures concerning the well-posedness of compressible Navier-Stokes equations in the presence of vacuum.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://arxiv.org/pdf/1905.07851v1.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article