论文标题
$ 1D $可压缩的Navier-Stokes系统的本地适应性带有粗糙的数据
Local well-posedness of the $1d$ compressible Navier-Stokes system with rough data
论文作者
论文摘要
本文为$ 1D $可压缩的Navier-Stokes Systems的本地良好性提供了一种新的方法。我们的方法基于建立一些平滑和Lipschitz型估计值,以$ 1D $抛物线方程和分段连续系数。
This paper presents a new approach to the local well-posedness of the $1d$ compressible Navier-Stokes systems with rough initial data. Our approach is based on establishing some smoothing and Lipschitz-type estimates for the $1d$ parabolic equation with piecewise continuous coefficients.