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nlin.CD2001★ 53 cited
The Three Dimensional Viscous Camassa-Holm Equations, and Their Relation to the Navier-Stokes Equations and Turbulence Theory
C. Foias, D. D. Holm, E. S. Titi
We show here the global, in time, regularity of the three dimensional viscous Camassa-Holm (Lagrangian Averaged Navier-Stokes-alpha) equations. We also provide estimates, in terms…
nlin.CD2001★ 339 cited
The Navier-Stokes-alpha model of fluid turbulence
C. Foias, D. D. Holm, E. S. Titi
We review the properties of the nonlinearly dispersive Navier-Stokes-alpha (NS-alpha) model of incompressible fluid turbulence -- also called the viscous Camassa-Holm equations and…