Dynamics of Partial Differential Equations
Volume 4 (2007)
On the domain of analyticity and small scales for the solutions of the damped-driven 2d Navier–Stokes equations
Pages: 111 – 127
We obtain a logarithmicaly sharp estimate for the space-analyticity radius of the solutions of the damped-driven 2D Navier–Stokes equations with periodic boundary conditions and relate this to the small scales in this system. This system is inspired by the Stommel–Charney barotropic ocean circulation model.
analyticity, Gevrey regularity, Navier–Stokes equations, dissipative length scales, Stommel–Charney model
2010 Mathematics Subject Classification
35B41, 35Q30, 37L30