89 citations · 315 across the 26 of their papers we have counts for
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On the Statistical Properties of the 3D Incompressible Navier-Stokes-Voigt Model
Boris Levant, Fábio Ramos, Edriss S. Titi
The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been recently proposed as a regularization of the 3D Navier-Stokes equations for the purpose of direct…
Spectral scaling of the Leray- model for two-dimensional turbulence
Evelyn Lunasin, Susan Kurien, Edriss S. Titi
We present data from high-resolution numerical simulations of the Navier-Stokes- and the Leray- models for two-dimensional turbulence. It was shown previously (Lunasin et al.…
Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence
Peter Constantin, Boris Levant, Edriss S. Titi
In this work we derive a lower bounds for the Hausdorff and fractal dimensions of the global attractor of the Sabra shell model of turbulence in different regimes of parameters. We…
Global Well-posedness of the Three-dimensional Viscous and Inviscid Simplified Bardina Turbulence Models
Y. Cao, E. M. Lunasin, E. S. Titi
In this paper we present analytical studies of three-dimensional viscous and inviscid simplified Bardina turbulence models with periodic boundary conditions. The global existence a…
Analytic Study of Shell Models of Turbulence
Peter Constantin, Boris Levant, Edriss S. Titi
In this paper we study analytically the viscous `sabra' shell model of energy turbulent cascade. We prove the global regularity of solutions and show that the shell model has finit…