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

Chen, Ke, Hu, Ruilin, Nguyen, Quoc-Hung

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.

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