论文标题
混合Lorentz空间中的各向异性Hardy-Sobolev不等式，并应用于轴对称Navier-Stokes方程
Anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces with applications to the axisymmetric Navier-Stokes equations
论文作者
论文摘要
在本文中，我们在混合的Lebesgue空间和混合Lorentz空间中建立了几个新的各向异性Hardy-Sobolev不平等现象，其中涵盖了许多已知的相应结果。作为一种应用程序，这种类型的不平等使我们能够概括3D轴对称Navier-Stokes方程的某些规律性标准。
In this paper, we establish several new anisotropic Hardy-Sobolev inequalities in mixed Lebesgue spaces and mixed Lorentz spaces, which covers many known corresponding results. As an application, this type of inequalities allows us to generalize some regularity criteria of the 3D axisymmetric Navier-Stokes equations.
