论文标题
液体的自由边界可压缩欧拉方程的规律性结果
A regularity result for the free boundary compressible Euler equations of a liquid
论文作者
论文摘要
在没有表面张力的液体的情况下，我们得出了可压缩的自由边界欧拉方程的先验估计。我们提供了一个新的加权功能框架，该框架通过使用强壮的不平等，从而改善了流程图的规律性。主要思想之一是分解初始密度函数。值得一提的是，在我们的分析中，我们不需要密度的高阶波方程。
We derive a priori estimates for the compressible free boundary Euler equations in the case of a liquid without surface tension. We provide a new weighted functional framework which leads to the improved regularity of the flow map by using the Hardy inequality. One of main ideas is to decompose the initial density function. It is worth mentioning that in our analysis we do not need the higher order wave equation for the density.
