89 citations · 454 across the 43 of their papers we have counts for
7 papers · 2 filters
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
Animikh Biswas, Ciprian Foias, Cecilia F. Mondaini +1
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map…
Onsager's Conjecture for the Incompressible Euler Equations in Bounded Domains
Claude Bardos, Edriss S. Titi
The goal of this note is to show that, also in a bounded domain , with , any weak solution, , of the Euler equations of i…
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
Jinkai Li, Edriss S. Titi
An important feature of the planetary oceanic dynamics is that the aspect ratio (the ratio of the depth to horizontal width) is very small. As a result, the hydrostatic approximati…
Global Stabilization of the Navier-Stokes-Voight and the damped nonlinear wave equations by finite number of feedback controllers
Varga K. Kalantarov, Edriss S. Titi
In this paper we introduce a finite-parameters feedback control algorithm for stabilizing solutions of the Navier-Stokes-Voigt equations, the strongly damped nonlinear wave equatio…
A determining form for the subcritical surface quasi-geostrophic equation
Michael S. Jolly, Vincent R. Martinez, Tural Sadigov +1
We construct a determining form for the surface quasi-geostrophic (SQG) equation with subcritical dissipation. In particular, we show that the global attractor for this equation ca…
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
Chongsheng Cao, Jinkai Li, Edriss S. Titi
In this paper, we consider the 3D primitive equations of oceanic and atmospheric dynamics with only horizontal eddy viscosities in the horizontal momentum equations and only vertic…