论文标题
相对能量不平等和虚弱的唯一性] {相对的能量不等式和弱的唯一性，用于等温非牛顿可压缩液
Relative energy inequality and weak-strong uniqueness]{Relative energy inequality and weak-strong uniqueness for an isothermal non-Newtonian compressible fluid
论文作者
论文摘要
我们的论文处理了非牛顿可压缩流体的三维非稳态Navier-Stokes方程。它包含对这些方程式弱解的相对能量不平等的推导。我们表明，标准能量不平等意味着相对能量不平等。因此，相对能量不平等使我们能够获得弱的独特性结果。换句话说，我们表明，Navier-Stokes系统的弱解与只要存在弱解决方案，就从相同的初始条件中发出的强溶液一致。
Our paper deals with three-dimensional nonsteady Navier-Stokes equations for non-Newtonian compressible fluids. It contains a~derivation of the relative energy inequality for the weak solutions to these equations. We show that the standard energy inequality implies the relative energy inequality. Consequently, the relative energy inequality allows us to achieve a weak-strong uniqueness result. In other words, we present that the weak solution of the Navier-Stokes system coincides with the strong solution emanated from the same initial conditions as long as the weak solution exists.
