论文标题
具有可变粘度系数的二维固定不可压缩的不均匀的Navier-Stokes方程的可溶性
Solvability of the two-dimensional stationary incompressible inhomogeneous Navier-Stokes equations with variable viscosity coefficient
论文作者
论文摘要
我们通过分析流函数的四阶非线性椭圆方程来显示具有可变粘度系数的二维固定固定不可压制的无均匀的Navier-Stokes方程的弱解的存在和规律性。密度函数和粘度系数可能具有较大的变化。此外，我们分别为平行，同心和径向流提供了解决方案，作为示例，我们明确地使用分段粘度粘度系数计算解决方案。
We show the existence and the regularity properties of the weak solutions to the two-dimensional stationary incompressible inhomogeneous Navier-Stokes equations with variable viscosity coefficient, by analyzing a fourth-order nonlinear elliptic equation for the stream function. The density function and the viscosity coefficient may have large variations. In addition, we formulate the solutions for the parallel, concentric and radial flows respectively, and as examples we calculate the solutions with piecewise-constant viscosity coefficients explicitly.
