Large time behavior of solutions to the $3$D anisotropic Navier-Stokes equation

MIkihiro Fujii

We consider the large time behavior of the solution to the $3$D Navier-Stokes equation with horizontal viscosity ${\Delta }_{\mathrm{h}}u={\partial }_1^{2}u+{\partial }_2^{2}u$ and show that the $L^p$…