The Cartesian analytical solutions for the N-dimensional compressible Navier-Stokes equations with density-dependent viscosity
The Cartesian analytical solutions for the N-dimensional compressible Navier-Stokes equations with density-dependent viscosity
复制标题
具有密度依赖粘度的 N 维可压缩纳维-斯托克斯方程的笛卡尔解析解
DOI：
10.1088/1572-9494/ac82ac
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Manwai Yuen
中科院分区：
文献类型：
--
作者：
Engui Fan;Zhijun Qiao;Manwai Yuen
本文利用矩阵积分和曲线积分理论，证明了粘性依赖于密度的N维可压缩Navier-Stokes方程的广义Cartesian向量解u= B（t）+ A（t）x的存在性.通过求解约化系统得到了两个精确解。
In this paper, we prove the existence of general Cartesian vector solutions u= b (t)+ A (t) x for the N-dimensional compressible Navier–Stokes equations with density-dependent viscosity, based on the matrix and curve integration theory. Two exact solutions are obtained by solving the reduced systems.