22 citations · 72 across the 11 of their papers we have counts for
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Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids
Guy Katriel, Raz Kupferman, Edriss S. Titi
We study a class of quadratic, infinite-dimensional dynamical systems, inspired by models for viscoelastic fluids. We prove that these equations define a semi-flow on the cone of p…
Gevrey regularity of the global attractor of the 3D Navier-Stokes-Voight equations
Varga K. Kalantarov, Boris Levant, Edriss S. Titi
Recently, the Navier-Stokes-Voight (NSV) model of viscoelastic incompressible fluid has been proposed as a regularization of the 3D Navier-Stokes equations for the purpose of direc…
A Beale-Kato-Majda breakdown criterion for an Oldroyd-B fluid in the creeping flow regime
Raz Kupferman, Claude Mangoubi, Edriss S. Titi
We derive a criterion for the breakdown of solutions to the Oldroyd-B model in in the limit of zero Reynolds number (creeping flow). If the initial stress field is in the So…
Global regularity for 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 that initially smooth…
Global Attractors and Determining Modes for the 3D Navier-Stokes-Voight Equations
Varga K. Kalantarov, Edriss S. Titi
We investigate the long-term dynamics of the three-dimensional Navier-Stokes-Voight model of viscoelastic incompressible fluid. Specifically, we derive upper bounds for the number…
Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel
Chongsheng Cao, Edriss S. Titi
In this paper we consider the three-dimensional Navier-Stokes equations in an infinite channel. We provide a sufficient condition, in terms of , where is the pres…