Analytic study of shell models of turbulence

PHYSICA D-NONLINEAR PHENOMENA

卷:219

Article

Constantin, Peter ; Levant, Boris ; Titi, Edriss S.

关键词: turbulence;    dynamic models;    shell models;    Navier-Stokes equations;   

DOI  :  10.1016/j.physd.2006.05.015

来源: Elsevier

【 摘 要 】

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. (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free