2 papers
physics.flu-dyn2025
On Turbulent Behavior of the Generalized Surface Quasigeostrophic Equations
Chengzhang Fu, Michael S. Jolly, Anuj Kumar +1
Turbulent behavior of the two-parameter family of generalized surface quasigeostrophic equations is examined both rigorously and numerically. We adapt a cascade mechanism argument…
math.AP2024
Upper bounds on the dimension of the global attractor of the 2D Navier-Stokes equations on the plane
Aseel Farhat, Anuj Kumar, Vincent R. Martinez
This article establishes estimates on the dimension of the global attractor of the two-dimensional rotating Navier-Stokes equation for viscous, incompressible fluids on the -pla…