论文标题
各向异性的lebesgue空间和Navier-Stokes方程中的能量平等中的Gagliardo-Nirenberg不平等
Gagliardo-Nirenberg inequality in anisotropic Lebesgue spaces and energy equality in the Navier-Stokes equations
论文作者
论文摘要
在本文中，表明在Gagliardo-Nirenberg不平等的混合规范空间中的类似物是有效的。作为一种应用，在这些空间中建立了一些针对3D Navier-Stokes方程的Leray-Hopf弱解决方案的新标准，这些标准扩展了相应的已知结果。
In this paper, it is shown that an analogue in mixed norm spaces of Gagliardo-Nirenberg inequality is valid. As an application, some new criteria for energy conservation of Leray-Hopf weak solutions to the 3D Navier-Stokes equations are established in these spaces, which extend the corresponding known results.
