On the domain of analyticity and small scales for the solutions of the damped-driven 2D Navier-Stokes equations

abstract

• 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. 2007 International Press.

authors

• Titi, Edriss

published proceedings

• DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS

author list (cited authors)

• Ilyin, A. A., & Titi, E. S.

citation count

• 3

complete list of authors

• Ilyin, Alexei A||Titi, Edriss S

publication date

• January 2007

publisher

• International Press of Boston  Publisher

published in

• Dynamics of Partial Differential Equations  Journal

keywords

• Analyticity
• Dissipative Length Scales
• Gevrey Regularity
• Navier-stokes Equations
• Stommel-charney Model

Digital Object Identifier (DOI)

• 10.4310/dpde.2007.v4.n2.a1

start page

• 111

end page

• 127

volume

• 4

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.4310%2Fdpde.2007.v4.n2.a1