Local well-posedness of isentropic compressible Navier–Stokes equations with vacuum
Local well-posedness of isentropic compressible Navier–Stokes equations with vacuum
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DOI：
10.4310/cms.2020.v18.n7.a4
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发表时间：
2019-05
影响因子：
1
通讯作者：
Huajun Gong;Jinkai Li;Xian-gao Liu;Xiaotao Zhang
中科院分区：
文献类型：
--
作者：
Huajun Gong;Jinkai Li;Xian-gao Liu;Xiaotao Zhang
在允许初始日期有真空的情况下，证明了等熵可压缩Navier-Stokes方程Cauchy问题强解的局部适定性。本文的主要贡献在于不假设初始数据的任何相容条件就建立了适定性，这是以前许多文献中广泛使用的关于真空存在下可压缩Navier-Stokes方程的适定性。
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.