89 citations · 315 across the 26 of their papers we have counts for
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Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit
Fabio Ramos, Edriss S. Titi
The Navier-Stokes-Voigt model of viscoelastic incompressible fluid has been recently proposed as a regularization of the three-dimensional Navier-Stokes equations for the purpose o…
Axisymmetric Euler- Equations without Swirl: Existence, Uniqueness, and Radon Measure Valued Solutions
Quansen Jiu, Dongjuan Niu, Edriss S. Titi +1
The global existence of weak solutions for the three-dimensional axisymmetric Euler- (also known as Lagrangian-averaged Euler-) equations, without swirl, is established, when…
Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations
Claude Bardos, Edriss S. Titi
A basic example of shear flow was introduced by DiPerna and Majda to study the weak limit of oscillatory solutions of the Euler equations of incompressible ideal fluids. In particu…
On the rate of convergence of the two-dimensional -models of turbulence to the Navier-Stokes equations
Y. Cao, E. S. Titi
Rates of convergence of solutions of various two-dimensional regularization models, subject to periodic boundary conditions, toward solutions of the exact Navier-Stokes equatio…
Global regularity and convergence of a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations
Claude Bardos, Jasmine S. Linshiz, Edriss S. Titi
We present an alpha-regularization of the Birkhoff-Rott equation, induced by the two-dimensional Euler-alpha equations, for the vortex sheet dynamics. We show the convergence of th…
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…