Between homogeneous and inhomogeneous Navier-Stokes systems: The issue of stability
Between homogeneous and inhomogeneous Navier-Stokes systems: The issue of stability
复制标题
均匀和非均匀纳维-斯托克斯系统之间：稳定性问题
DOI：
10.1016/j.jde.2019.01.012
复制
发表时间：
2019
影响因子：
2.4
通讯作者：
Zheng Xiaoxin
中科院分区：
文献类型：
--
作者：
Mucha Piotr B;Xue Liutang;Zheng Xiaoxin
我们构造了三维非齐次Navier-Stokes方程组的大速度矢量解。在初始密度逐点接近常数的假设下，通过二维常密度解的稳定性证明了这一结果。我们的方法的关键要素是在最大正则性制度和拉格朗日坐标的估计。在整个R3中进行了考虑.
We construct large velocity vector solutions to the three dimensional inhomogeneous Navier–Stokes system. The result is proved via the stability of two dimensional solutions with constant density, under the assumption that initial density is point-wisely close to a constant. Key elements of our approach are estimates in the maximal regularity regime and the Lagrangian coordinates. Considerations are done in the whole R 3.