Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on ${\mathbb{R}}^2$

Zhibin Wang, Jiahong Wu, Ning Zhu

The stability problem for the 2D Navier-Stokes equations with dissipation in only one direction on ${\mathbb{R}}^2$ is not fully understood. This dissipation is in the intermediate re…