89 citations · 315 across the 26 of their papers we have counts for
4 papers · 2 filters
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…
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…
Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations
Yanping Cao, Edriss S. Titi
We show that the only locally integrable stationary solutions to the integrated Kuramoto-Sivashinsky equation in and are the trivial constant solutions. We extend our tec…