论文标题
全球存在较弱的解决方案的弱解决方案，并具有降低温度的粘度系数
Global existence of weak solutions to the Navier-Stokes equations with temperature-depending viscosity coefficient
论文作者
论文摘要
在本文中，在有界域中考虑了三维不均匀，不可压缩和热传导的Navier-Stokes方程的初始值问题。粘度系数是退化的，在绝对零温度的区域可能消失。为大初始数据建立了这种系统的薄弱解决方案的全球存在。证明基于三级近似方案，即De Giorgi的方法和紧凑性论证。
In this paper, the initial-boundary value problem to the three-dimensional inhomogeneous, incompressible and heat-conducting Navier-Stokes equations with temperature-depending viscosity coefficient is considered in a bounded domain. The viscosity coefficient is degenerate and may vanish in the region of absolutely zero temperature. Global existence of weak solutions to such a system is established for the large initial data. The proof is based on a three-level approximate scheme, the De Giorgi's method and compactness arguments.
