Analytic study of shell models of turbulence Academic Article

abstract

• In this paper we study analytically the viscous "sabra" shell model of the energy turbulent cascade. We prove the global regularity of solutions and show that the shell model has finitely many asymptotic degrees of freedom, specifically: a finite dimensional global attractor and globally invariant inertial manifolds. Moreover, we establish the existence of an exponentially decaying energy dissipation range for sufficiently smooth forcing. 2006 Elsevier Ltd. All rights reserved.

authors

• Titi, Edriss

published proceedings

• PHYSICA D-NONLINEAR PHENOMENA

author list (cited authors)

• Constantin, P., Levant, B., & Titi, E. S.

citation count

• 42

complete list of authors

• Constantin, Peter||Levant, Boris||Titi, Edriss S

publication date

• July 2006

publisher

• Elsevier  Publisher

published in

• Physica D : Non-linear phenomena  Journal

keywords

• Dynamic Models
• Navier-stokes Equations
• Shell Models
• Turbulence

Digital Object Identifier (DOI)

• 10.1016/j.physd.2006.05.015

start page

• 120

end page

• 141

volume

• 219

issue

• 2

URL

• http://dx.doi.org/10.1016/j.physd.2006.05.015