89 citations · 454 across the 43 of their papers we have counts for
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Asymptotic Expansions in Time for Rotating Incompressible Viscous Fluids
Luan T. Hoang, Edriss S. Titi
We study the three-dimensional Navier--Stokes equations of rotating incompressible viscous fluids with periodic boundary conditions. The asymptotic expansions, as time goes to infi…
Global Well-posedness for the Primitive Equations Coupled to Nonlinear Moisture Dynamics with Phase Changes
Sabine Hittmeir, Rupert Klein, Jinkai Li +1
In this work we study the global solvability of the primitive equations for the atmosphere coupled to moisture dynamics with phase changes for warm clouds, where water is present i…
A Determining Form for the 2D Rayleigh-Bénard Problem
Yu Cao, Michael S. Jolly, Edriss S. Titi
We construct a determining form for the 2D Rayleigh-Bénard (RB) system in a strip with solid horizontal boundaries, in the cases of no-slip and stress-free boundary conditions. The…
Well-posedness of strong solutions to the anelastic equations of stratified viscous flows
Xin Liu, Edriss S. Titi
We establish the local and global well-posedness of strong solutions to the two- and three-dimensional anelastic equations of stratified viscous flows. In this model, the interacti…
Zero Mach Number Limit of the Compressible Primitive Equations Part I: Well-prepared Initial Data
Xin Liu, Edriss S. Titi
This work concerns the zero Mach number limit of the compressible primitive equations. The primitive equations with the incompressibility condition are identified as the limiting e…
Algebraic Bounds on the Rayleigh-Bénard attractor
Yu Cao, Michael S. Jolly, Edriss S. Titi +1
The Rayleigh-Bénard system with stress-free boundary conditions is shown to have a global attractor in each affine space where velocity has fixed spatial average. The physical prob…