Global stability of large Fourier mode for 3-D anisotropic Navier-Stokes equations in the cylindrical domain

Key Points

• Global stability of large Fourier modes is established for anisotropic Navier-Stokes equations in a cylindrical domain.
• Key evidence shows that under specific conditions, stability is achieved, enhancing our understanding of fluid behavior.
• Theoretical analysis applies to the 3-D anisotropic Navier-Stokes equations, focusing on their behavior in a confined cylindrical environment.
• This work highlights the importance of understanding stability in complex fluid systems, potentially guiding future research in the field.