89 citations · 315 across the 26 of their papers we have counts for
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Statistical Properties of Nonlinear Shell Models of Turbulence from Linear Advection Models: Rigorous Results
Roberto Benzi, Boris Levant, Itamar Procaccia +1
In a recent paper it was proposed that for some nonlinear shell models of turbulence one can construct a linear advection model for an auxiliary field such that the scaling exponen…
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…
Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows
Chonsheng Cao, Junlin Qin, Edriss S. Titi
In this paper we consider the three-dimensional Navier-Stokes equations in infinite channel. We provide a regularity criterion for solutions of the three-dimensional Navier-Stokes…
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…
Analytical Study of Certain Magnetohydrodynamic-alpha Models
Jasmine S. Linshiz, Edriss S. Titi
In this paper we present an analytical study of a subgrid scale turbulence model of the three-dimensional magnetohydrodynamic (MHD) equations, inspired by the Navier-Stokes-alpha (…
Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
Peter Constantin, Charles Fefferman, Edriss Titi +1
We consider systems of particles coupled with fluids. The particles are described by the evolution of their density, and the fluid is described by the Navier-Stokes equations. The…